When an airplane is 35,000 feet from an air traffic control tower, the angle of elevation between the tower and the airplane is.



What is the approximate altitude, a, of the plane at this point?
A. 45,689 feet
B. 26,812 feet
C. 29,369 feet
D. 41,711 feet

When An Airplane Is 35,000 Feet From An Air Traffic Control Tower, The Angle Of Elevation Between The

Answers

Answer 1

Answer:

26,812 ft

Step-by-step explanation:

The drawing given is very helpful in this case.  When solving problems like this, it's important to realize what trigonometric ratio we're going to use.  From the given angle (50°), we are given the hypotenuse (35,000 ft) and we're trying to solve for the opposite side ([tex]a[/tex]).  

So since we're trying to find the opposite side side and we have the hypotenuse, we should try to find a trigonmetric ratio between the opposite side and the hypotenuse.  Using SOH-CAH-TOA, hopefully you can see that we should pick SOH (i.e. [tex]\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]).  Therefore, we can set up our equation given the angle [tex]\theta=50^\circ[/tex].  

[tex]\sin(50^\circ)=\frac{a}{35000}[/tex]

Since we're solving for [tex]a[/tex], we can just rearrange to get [tex]a=35000\sin(50^\circ)=26812[/tex]

Therefore, the plane's altitude [tex]a[/tex] is 26,812 ft.

Answer 2

The approximation altitude of the plane at 35,000 feet from an air traffic control tower will be 26812 feet hence option (B) will be correct.

What is a trigonometric function?

the trigonometric functions are real functions for only an angle of a right-angled triangle to ratios of two side lengths.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

Given that 35000 feet are the distance between a plane and the air traffic control tower.

Hypotaneous =  35000 feet

The angle of elevation is 50°

By trigonometric function sin

Sinx = perpendicular/hypotaneous

Sin50° = Altitude/35000

Altitute = 35000 × sin50°

Altitude = 26811.55 ≈ 26812 feet will be the correct answer.

For more information about the trigonometric function

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Related Questions

Anyone knows what the answer for this is I am really confused on it

Answers

By replacing x in the equation with -1 our result will be 1.5. So f(-1)=1.5

8a+6ab+5b,-6a-ab-8b and - 4a+2ab+3b

Pls answer this question ​

Answers

Answer:

4 a+8 ab+8b

Step-by-step explanation:

8 a-4 a+6ab+2ab+5 b+3 b

4 a+8 ab+8b

When the demand for a good is highly elastic with respect to price, how should a producer want to increase revenue?

Answers

Answer:

When the demand for a good is highly elastic, the producer can increase revenue by reducing the price slightly.

Explanation:

Prices can either be Elastic, Inelastic, or Unitary.

The assumption is that the scenario in the question is in a perfect market. A perfect market is one where there are numerous buyers and sellers and there is little or no gap in information about market conditions such as cost of input, prices of the competition, etc.

When the demand for a product is elastic, it means that it is sensitive to changes in price. Price Elasticity is in degrees. When the demand for a product is highly elastic, it means that small changes in price lead to even greater changes in demand.

So for the producer to increase revenue in the short run (all things being equal) all they need to do is reduce the price slightly. This will increase revenue because it most likely will translate to a more than proportionate increase in quantity demanded.

Recall that markets are dynamic and the most predictable reaction of the other producers to this move will be an equal or even greater reduction in price in order to win back lost customers. Hence to sustainably maintain this position The producer will have to ensure that their product is sufficiently differentiated with unique value additions that are impossible or difficult to replicate.

Cheers

If C(-2, 4) and D(-6, -1), then what is the length of CD? Round to the nearest tenth.

Answers

9514 1404 393

Answer:

  6.4

Step-by-step explanation:

The length is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-6 -(-2))² +(-1-4)²) = √((-4)² +(-5)²) = √(16 +25) = √41

  d ≈ 6.4

Answer:

6.4

Step-by-step explanation:

hope it helps

#GAUTHMATH

A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).

Answers

Answer:

4547.14

Step-by-step explanation:

m increased by %8 so it'll be

[tex]6.588 \times {10}^{ - 5} [/tex]

and t will be

[tex]1.785 \times {10}^{ - 6} [/tex]

so G =

[tex] \sqrt{ \frac{(6.588 \times {10}^{ - 5}) }{ {(1.785 \times {10}^{ - 6}) }^{2} } } [/tex]

G= 4547

The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?
Find the z score for each state.

Answers

Answer:

The z-score for a home priced at $200,000 in Florida is of -2.5.

The z-score for a home priced at $200,000 in Ohio is of 2.5.

The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. Home of $200,000.

This means that [tex]\mu = 240, \sigma = 16, X = 200[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 240}{16}[/tex]

[tex]Z = -2.5[/tex]

The z-score for a home priced at $200,000 in Florida is of -2.5.

The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Home of $200,000.

This means that [tex]\mu = 170, \sigma = 12, X = 200[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 170}{12}[/tex]

[tex]Z = 2.5[/tex]

The z-score for a home priced at $200,000 in Ohio is of 2.5.

Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?

The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.

How much is 12,856 ounces in pounds ?

Answers

Answer : 803.5 pounds

There are 16 ounces in a pound, so just divide 12,856 by 16, giving you 803.5.

please help me please help me please help me please help me please help me please help me please​

Answers

Answer:

1. -4

2(12,35,37). hope helpful answer

Answer:

Question 1 = 256

Question 2 = ( 7, 8, 12)

help me find answer i need answer please hlep

Answers

Answer:

7

Step-by-step explanation:

This is correct answer bro...

Answer:

7

Step-by-step explanation:

So first off, two numbers that are to the same root can be combined.

In this case we can combine these two values, since they are to the 5th root and are both 7:

[tex]\sqrt[5]{7*7^4}[/tex]

=

[tex]\sqrt[5]{49^4}[/tex]

This can be broken down into 7^2

This gets us [tex]\sqrt[5]{7^5}[/tex]

Remember that we add exponents, together, so in this case it adds up to 5.

You might be wondering...well if its 7^2 and 7^4, wouldnt it be 7^6?

Well, remember this. One of the 7s in 7^2 is from the 7^4, so tecnically it is 7^3 + 7^2, which is 7^5

Anyway, now we have:

[tex]\sqrt[5]{7^5}[/tex]

When you root a exponent, it works like subtraction.

In this case we have a exponent of 5, and a root of 5.

This is 5-5 = 0

So it will just be 7. Because the square and root cancel each other out, leaving us with 7.

Hope this helps!

Also, I  just watched you waste someone elses answer so you could ask your own question. Instead of wasting other peopes answers, message me on one of my questions or answers, I will help you for free. :D

A family is planning to sell their home. If they want to be left with $116,100 after paying 10% of the selling price to a realtor as a commission, for how much must they sell the house?

Answers

116100 will be 90% of the selling price
The will need to sell for 116100 / 90 x 100 = $129000

The selling price is $129000

What is selling price?

The selling price of an item is the price at which it is sold.

Given that 10% of selling price is the commission.

So the family gets 90% of the selling price, which is given as $116,100.

i.e (90/100) * Selling Price = 116100

Therefore, the selling price is  (116100*100)/90 = 129000.

Hence, the family sell the house for the price of  $129,000

To learn more about selling price, use the link given below:

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For the diagram below, which of the following represents the length of line MN to the nearest tenth?

Answers

Answer:

( 4 ) 28.6Step-by-step explanation:

Tan 40 = 24/MNMN = 24/tan 40

HOPE IT HELPS !!!!

Can somebody help me? I feel like this is wrong

Answers

The y-intercept is correct but the slope is wrong , go take any 2 points from the graph and use the rule , y2-y1/x2-x1 , to find the slope

Which I got was y=-1/3x+5

I really hope that helps and my deepest apologies if my answer turned out wrong!!
The answer is

y= -0.3x +5

Consider x1= 9
Y1=2
x2= 0
y2 = 5

Slope is

m = 3 / -9 = 1 / -3 = -0.33333

The entered points belong to a decreasing, linear function.
Equation: y = -0.33333x + 5.


m = 3 / -9 = 1 / -3 = -0.33333

Show number that 0.245 is Rational number

Answers

Answer:

A rational number is one that may be represented in the manner p/q.

245/1000 = 0.245

Step-by-step explanation:

0.245 is not an integer. It is a rational number.

Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of?

Answers

Answer:

The possible number that Hall could be thinking of is 144.

Step-by-step explanation:

Difference between 17 and the square root of my mystery number

This is represented by:

[tex]17 - \sqrt{x}[/tex]

is 5

Then:

[tex]17 - \sqrt{x} = 5[/tex]

What are two possible numbers that Hall could be thinking of?

We have to solve the equation, for x. So

[tex]17 - \sqrt{x} = 5[/tex]

[tex]\sqrt{x} = 12[/tex]

[tex](\sqrt{x})^2 = (12)^2[/tex]

[tex]x = 144[/tex]

The possible number that Hall could be thinking of is 144.

Inscribe a circle in a unit square and to r= 1000 random.

a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?

Answers

Step-by-step explanation:

area of square = 1

area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]

bu estimate  [tex]p^ = X/n = 760/1000 = 0.76

Therefore,

[tex]\frac{\pi }{4} \approx 0.76[/tex]

[tex]\pi \approx 0.76*4 =3.04[/tex]

b) if n tend to infinity

[tex]\pi will approach 3.14[/tex]

Answer:

uvfhmfa

Step-by-step explanation:

Use identities to simplify

Answers

(B)

Explanation:

[tex](\sec \beta + 1)(\tan \beta \csc \beta - 1)[/tex]

[tex]=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{\sin \beta}{\cos \beta} \dfrac{1}{\sin \beta} - 1 \right)[/tex]

[tex]=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{1}{\cos \beta} - 1 \right)[/tex]

[tex]= \left(\dfrac{1}{\cos^2 \beta} - 1 \right)[/tex]

[tex]= \left(\dfrac{1 - \cos^2 \beta}{\cos^2 \beta} \right)[/tex]

[tex]= \dfrac{\sin^2 \beta}{\cos^2 \beta}[/tex]

[tex]= \tan^2 \beta[/tex]

Help me please with this math problem

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

[tex](5x-14)+(8x+12)=180[/tex]

These two angles on the line is 180°

Solve the equation:

[tex]5x-14+8x+12=180[/tex]

[tex]5x+-14+8x+12=180[/tex]

[tex](5x+8x)+(-14+12)=180[/tex] {combine the like terms}

[tex]13x-2=180[/tex]

[tex]13x=180+2[/tex]

[tex]13x=182[/tex]

[tex]x=182/13[/tex]

[tex]x=14[/tex]

PROOF:

{substitute 14 in the place of x}

[tex](5(14)-14)+(8(14)+12)=180[/tex]

[tex]56+124=180[/tex]

[tex]180=180[/tex]

hope this helps....

17. Omar has a piece of rope. He ties a knot in the rope and measures the new length of the rope.
He then repeats this process several times. Some of the data collected are listed in the table
below.
Number of Knots
Length of Rope
(cm)
4 5 6 7 8
64 58 52 46 40
State, the linear equation that gives the length, y, of the rope after tying x knots.

Answers

Answer:

Step-by-step explanation: If I is intial height (y=I-6x) because Height = intial height + numbrt of knots -6 becuase as shown in the table every knot takes away 6 cm.

The linear equation that represents the length of the rope (y) after tying 'x' knots is:  y = f(x) = 88 - 6x

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Here, the number of knots are x = 4, 5, 6, 7, 8.

The length of the rope remains after each knots y = 64, 58, 52, 46, 40.

After tying 5th knot, the length of the rope decreases

= (64 - 58) cm

= 6 cm

After tying 6th knot, the length of the rope decreases

= (58 - 52) cm

= 6 cm

After tying 7th knot, the length of the rope decreases

= (52 - 46) cm

= 6 cm

After tying 5th knot, the length of the rope decreases

= (46 - 40) cm

= 6 cm

Initial length of the rope was = (64 + 4 × 6) cm = 88 cm

With the increase in value of 'x' by 1, the value of 'y' decreases by 6.

Therefore, the required equation: y = f(x) = 88 - 6x

Learn more about a linear equation here: https://brainly.com/question/3269317

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Find the value of x?

Answers

Answer:

X=2.

Step-by-step explanation:

3 times 2 is equal to 6, and 4 times 2 is equal to 8, 6+8=14.

G.1.- Una Recta contiene los puntos (-3,7)
y (9,-5) Calcule la ecuación de la recta en la
FORma y=mxtb. Explicar los pasos

Answers

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of [tex]y=mx+b[/tex].

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]

[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]

[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]

[tex]y-7=-1(x+3)[/tex]

On further simplification, we get

[tex]y-7=-x-3[/tex]

[tex]y-7+7=-x-3+7[/tex]

[tex]y=-x+4[/tex]

Therefore, the equation of the required line is [tex]y=-x+4[/tex].

What is the value of x in the equation 1/5x-2/3y = 30, when y = 15

Answers

Answer:

x=200

Step-by-step explanation:

(1/5)x-(2/3)y=30, y=15

(1/5)x-(2/3)*15=30

(1/5)x=40

x=200

25^2 6^3 find prime factorization

Answers

Answer:

With Exponents: 32 × 7 × 401

Without Exponents: 3 × 3 × 7 × 401  

Step-by-step explanation:

Hello,

[tex]25^2*6^3\\\\=(5^2)^2*(2*3)^3\\\\=\boxed{2^3*3^3*5^4}\\[/tex]

Which of the following is the graph of f(x)=║x║translated 2 units right, 2 units up, and dilated by a factor of 1/3?

Answers

Answer:

c on edge2021

Step-by-step explanation:

determin 16x - 4y + 2 = 0

Answers

Answer:

16inches is your answer

the distance between Johannesburg and bloemfontein is estimated at 435km. if they travel at an average speed of 120km per hour,how long will it take them to travel from Johannesburg to bloemfontein? give answer in hours ,minutes and seconds​

Answers

Answer:

3.625h,217.5min,13050sec

Step-by-step explanation:

S=vt

t=S/v

t=435/120 (km) /(km/h) =3.625h

t= 3.625*60 min = 217.5 min

t=217.5*60sec = 13050 sec

Answer:

t= 3.625 gio 217.5 phút = 13.050 giây

Step-by-step explanation:

s= vt

t=s/v

t= 435/120= 3.625 gio

t= 3.625*60=217.5 phút

t=  217.5*60 = 13.050 giây

Find the common ratio of the geometric sequence − 1 , − 9 , − 81 ,

Answers

Step-by-step explanation:

everything can be found in the picture


Please answer part A and B.

Answers

Answer:

Percent who walk 45%

Percent in car 22.5%

Step-by-step explanation:

The total number of students is

36+26+18 = 80

Percent who walk is 36/80 = .45 =45%

Percent in car is 18/80 =.225= 22.5%

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed. Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth.
a. $0.13 / Ib.
b. $4.00 / Ib
c. $6.25 / Ib.
d. $7.75 / Ib.

Answers

Answer:

a. $0.13 / Ib.

Step-by-step explanation:

Slope of a line:

Suppose we have two data-points in a line. The slope is given by the change in the output divided by the change in the output.

In this question:

Input: weight(in pounds)

Output: Weekly cost to feed.

A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.

Inputs: 0.5, 62.5

Outputs: 2, 10

Change in the outputs: 10 - 2 = 8

Change in the inputs: 62.5 - 0.5 = 62

Slope: [tex]m = \frac{8}{62} = 0.13[/tex]

So the correct answer is given by option A.

Answer:

0.13

Step-by-step explanation:

A system of equations is shown below:

y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?

(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Answers

Answer:

(8, 17)

Step-by-step explanation:

y= 3x -7 -----(1)

y= 2x +1 -----(2)

Substitute (1) into (2):

3x -7= 2x +1

Being x terms to one side, constant to the other:

3x -2x= 7 +1

x= 8

Substitute x= 8 into (2):

y= 2(8) +1

y= 16 +1

y= 17

∴ The solution is (8, 17).

Trigonometry help please? I need the three answers

Answers

Answer:

Both triangles are triangle rectangles, but the triangles are not similar.

Step-by-step explanation:

By the Pythagorean's theorem, we know that for a triangle rectangle the sum of the squares of the cathetus is equal to the square of the hypotenuse.

Where the cathetus are always the two sides of smaller length.

We also know that two figures are similar if all the correspondent sides are proportional to each other, this means that the figures have the same shape but different size.

First, for triangle A the measures of the sides are:

48, 55, 73

Here the two catheti are 48 and 55, and the hypotenuse is 73.

Then to answer the first question we need to try to apply the Pythagorean's theorem, we should have:

48^2 + 55^2 = 73^2

solving that we get:

5,329 = 5,329

This is true, thus triangle A is a triangle rectangle.

Now for triangle B the measures are: 36, 77 and 85.

So the catheti are 36 and 77, and the hypotenuse is 85

So to check if triangle B is a triangle rectangle the equation:

36^2 + 77^2 = 85^2

must be true, solving both sides we get:

7,225 = 7,225

This is true, so triangle B is a triangle rectangle.

Finally, to check if the figures are similar we need to compare the correspondent sides of both triangles, such that the quotient of correspondent sides must be always the same.

For the hypotenuses, if we compute:

(hypotenuse B)/(Hypotenuse A) we get:

85/73 = 1.16

Now if we do the same for the two smaller catheti we get:

36/48 = 0.75

The quotients are different, thus the triangles are not similar.

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