A yathc is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. What is nearest to the hieght of the lighthouse

Answers

Answer 1

Answer:

44 ft

Step-by-step explanation:

The set up will give a right angled triangle where;

Base of the triangle = 90 ft (distance of the offshore from the base of the house)

theta = 26 degrees (angle of elevation)

Height of the house will be the opposite side = x

Using the TOA trig identity;

tan 26 = opp/hyp

tan 26 x/90

x = 90tan 26

x = 90(0.4877)

x = 43.89 ft

Hence the nearest height of the house is 44ft


Related Questions

How do I solve this equation?

Answers

Answer:

Split the equation into two equations:

4x - 3 ≤ 7

or

-(4x - 3) ≤ 7

The overall solution is the combination of the two individual solutions.

*BRAINIEST & 30 POINTS*

what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?

Answers

Answer:

(-5, 5)

Step-by-step explanation:

Given points:

(-8,8) and (7,-7)

Ratio of partitioning:

1 tp 4

Use of formula:

P = (x1 + a/(a+b)*(x2 - x1), y1 + a/(a+b)*(y2 - y1))

Substitute values:

P = (-8 + 1/(1+4)*(7 + 8), 8 + 1/(1+4)*(-7 - 8)) P = (-8 + 1/5*15, 8 + 1/5*(-15))P = (-8 + 3, 8 - 3)P = (-5, 5)

Please answer I will mark branliest

Answers

Answer:

C

Step-by-step explanation:

To find the volume of a cube, raise the value of one side to the third power. 2.5 centimeters to the third power is 15.625, which can also be expressed as the fraction 125/8

Answer: choice C

Step-by-step explanation:

Since V = s^3

And side length = 2.5

V = (2.5)^3

V = 15.625

V = 125/8 cm^3

what do i put in the blank ?

Answers

Answer:

Slope: 3

Y-intercept: -1

Linear equation: y=3x-1

Slope: 3
Y- intercept: -1
equation:Y=3x-1


Can someone help me with this! Ty

Answers

Answer:

drag  10 to the

Step-by-step explanation:

Answer:

In order from left to right (each slash will be one line on the number line.)

Step-by-step explanation:

-10   -9            -7           -5      -4                -2           0

/____/___/___/__/___/____/___/_____/__/___/

Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 6).

Line AB is shown. A is at 0, 1. B is at negative 2, 5.

(6 points)


y = 0.5x + 2.5

y = 0.5x − 2.5

y = −2x + 20

y = 2x − 20

Answers

Answer: y = 0.5x + 2.5

I took the test and got it right

Answer: y = 0.5x + 2.5

Step-by-step explanation: look at picture VVV VVV VVV

Four banks have provided proposals for a savings account. Which scenario provides exponential growth that will best benefit the account holder?
A.The deposit increases by 3%, percent of its current value, compounded annually.

B.The deposit increases by 3%, percent of its current value, compounded monthly.

C. The deposit increases by 5%, percent of its initial value each year.

D. The deposit increases by 0.40% point, percent of its initial value each month.

Answers

Answer:

B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation:

When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

Answer:

Answer: B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation: When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

HELP!!!! PLEASE I NEED HELP!!!!

Answers

for the first one it is the second option because of one property of logarithms:

log(a)-log(b)=log[tex]\frac{a}{b}[/tex]

for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm

loga(b)^x=xloga(b) the power of the logarithm becomes a fator and [tex]\sqrt[3]{x}[/tex] is equal to [tex]x^{\frac{1}{3}}[/tex]

please help asap!
i will mark brainliest!!!!

Complete this sentence. If the force of gravity ________, the weight of an object will _______________.

a. decreases, increase
b. increases, increase
c. increases, stay the same
d. decreases, stay the same

Answers

i think it’s d but sorry if it’s not right

Find the measure of each exterior angle of the regular polygon.

Answers

Answer:

Exterior Angle 1 (2x-10): 140 degrees

Exterior Angle 2 (x+25): 130 degrees

Exterior Angle 3 (right angle): 90 degrees

Step-by-step explanation:

Givens:

Angle 3 = 90 degrees

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle

Step 1: Solving for x.

1. Using the first equation above, substitute the angles.

(2x-10) + (x+25) + 90 = 180

2. Combine like terms.

3x + 105 = 180

3. Solve for x.

3x = 75

x = 25

Step 2: Solving for angle 1 and 2.

Plug 25 in for x for both angles

Angle 1:

(2(25)-10) = 40 degrees

Angle 2:

((25)+25) = 50 degrees

Step 3: Solving for exterior angles.

Plug in the knowns to the second equation above and solve.

Angle 1:

180 - 40 = 140 degrees

Angle 2:

180 - 50 = 130 degrees

Angle 3:

180 - 90 = 90 degrees

I hope this helps!

Answer:

x=25

Step-by-step explanation:

90+2x-1-+x+25=180

3x+105=180

    -105 -105

3x/3=25/3

Meaning x=25

Which of the following is a rational number?

Answers

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal

Which expression is equal to 7/v5

Answers

its b because to simplify radical you multiply by in this instance sqrt of 5 on the denominator and numerator

12)
What is two rays sharing a common endpoint?
A)
angle
B)
circle

C)triangle
D)
line segment

Answers

Answer:

An angle is formed when two rays share a common endpoint.

Step-by-step explanation:

When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.

What are the types of lines?

A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.

We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.

We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.

learn more about angles here :

https://brainly.com/question/2882938

#SPJ1

12in to 4ft make a fraction in simplest from

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

12 inches/ 48 inches = 1/4 foot

or  1 foot/4 feet = 1/4 foot

Substitute it please!!

Answers

y=1-i

x=-3/2-i/2

thats what it should be

A division problem is shown below.

Answers

4 1/3 : 5 1/6
To divide fractions, you first must find the improper version of each (4 1/3 = 13/3; 5 1/6= 31/6)
Now you have 13/3 : 31/6.
Since to divide fractions, you find the reciprocal of the second number in the equation and multiply it by the first number(the reciprocal is when the numerator and denominator is switched)
Meaning that to solve this you need to multiply 13/3 * 6/31

Meaning that the answer is the first one

a number x divided by 4

Answers

X/4 ???????,????,???????

WILL GIVE BRAINLIEST AND 5 STARS AND THANKS
Enter the range of values for x
3 < x < ?

Answers

Answer:

3 < x < 7

Step-by-step explanation:

From the diagram; |AB| = |AC|

The length AB is calculated as;

[tex]Sin\ 52^o = \frac{|BD|}{|AB|} \\\\|AB| = \frac{|BD|}{Sin\ 52^o} \\\\|AB| = \frac{12}{Sin\ 52^o} \\\\|AB| =15.228 \ m[/tex]

The length CD is calculated as;

[tex]Sin \ 31^o = \frac{|CD|}{|AC|} \\\\|CD| = |AC| \ \times \ Sin \ 31^o \\\\|CD| = 15.228 \ \times \ 0.515\\\\|CD| = 7.84[/tex]

|CD| = 2x - 6

2x - 6  = 7.84

2x = 7.84 + 6

2x = 13.84

x = 13.84 / 2

x = 6.92

x ≅ 7

Thus, 3 < x < 7

HELPPPPPPPPPPPP MEEEE

Answers

Answer:

He will do 75 Knee lifts

Step-by-step explanation:

Every minute, he does 25 knee lifts.

We know this by dividing 50 and 2 which is 25

We multiply by three after because he is doing knee lifts for three minutes.

25 x 3 = 75

-Which plan charges a higher monthly rate? Justify your answer.
-The plan that charges the higher monthly rate charges__as much as the other plan.
a. 1.2
b. 0.78
c. 1.28
d. 0.83
-What is the one-time fee of fitness plan B?​

Answers

Answer:

D

Step-by-step explanation:

Find the diameter of a circle if its area is
a. 100cm2
Ibucm2
c. 400mcm2
d. - ncm2
4​

Answers

Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]

The answer is 3,4 what is the question

Answers

Answer:

What is the x and y coordinate of (3,4)

2. The perimeter of rectangle is 48cm. If the
files are in the ratio 3 : 5, find the length
of the sides​

Answers

lets the length be 3x

width be 5x

perimeter = 48

so

3x +5x=48

8x = 48

x =48/8

x= 6

so.

3x = 3×6 = 18

5x = 5×6= 30

hope it will be helpful

the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.​

Answers

Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]

The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so  5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"  

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

Saima goes to her friend every 15 days and laiba goes to same friend every 18 days.After how many days saima and laiba will visit the friend together?

Answers

Answer:

33 days

Step-by-step explanation:

15 + 18 = 33

PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!

Answers

Answer:

24.3

Step-by-step explanation:

its really hard to explain but trust me

Answer:

The tree would be 27.6

Step by Step:

I took the height of the mailbox (6 ft) and its shadow (5.4) and subtracted that and got 0.6. Then I took 0.6 and added it to the shadow of the tree (27 ft) and got the answer 27.6.

please solve X for me ? :')

Answers

110.10 +4x = 150.10
4x=40
x=10 :D

-5y + 7y + 18 - 3x Whoever answers the best gets brainlyest.

Answers

Answer:

2y+18-3x

Step-by-step explanation:

Answer:

2y +18 -3x

Step-by-step explanation:

-5y +7y +18 -3x

-5y -5y            

2y +18 -3x

A cooking instructor stated that 5 pounds of roast beef is needed to serve 8 people. Based on the instructor's statement, which of the following equations can be used to find r, the number of pounds of roast beef needed to serve 12 people?

Answers

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales weigh approximately 3×105 pounds. Narwhals, which are also a type of whale, weigh approximately 2×103 pounds. How many times heavier is the blue whale's weight than the narwhal's weight?

Answers

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = [tex]3\times10^5\text{ pounds}[/tex]

Weight of Narwhal = [tex]2\times10^3\text{ pounds}[/tex]

Number of times blue whale's weight  is heavier than the narwhal's weight = [tex]=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}[/tex]

[tex]=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150[/tex]

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

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