A boy sees a bird sitting on a tree at an angle of elevation of 20°. If a boy is standing 10 miles away from the tree, at what height bird is sitting? ​

Answers

Answer 1

Let that be x

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan20=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail 0.364=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=10(0.364)[/tex]

[tex]\\ \rm\rightarrowtail x=3.64mi[/tex]

 A Boy Sees A Bird Sitting On A Tree At An Angle Of Elevation Of 20. If A Boy Is Standing 10 Miles Away
Answer 2

Answer:

[tex]\displaystyle 4\:mi.[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{10}{h} = cot\:20 \hookrightarrow 10 = hcot\:20 \hookrightarrow \frac{10}{cot\:20} = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]

OR

[tex]\displaystyle \frac{h}{10} = tan\:20 \hookrightarrow 10tan\:20 = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]

I am joyous to assist you at any time.


Related Questions

can someone help me with this question

Answers

Answer:

B

Step-by-step explanation:

Convert from mixed numbers to improper fractions:

[tex]\sf area=90 \frac{3}{10}=\dfrac{90 \cdot 10+3}{10}=\dfrac{903}{10}[/tex]

[tex]\sf length=10\frac12=\dfrac{10 \cdot 2+1}{2}=\dfrac{21}{2}[/tex]

Area of a rectangle = length x width

⇒ width = area ÷ length

[tex]\sf \implies width=\dfrac{903}{10} \div \dfrac{21}{2}[/tex]

[tex]\sf \implies width=\dfrac{903}{10} \times \dfrac{2}{21}[/tex]

[tex]\sf \implies width=\dfrac{1806}{210}[/tex]

[tex]\sf \implies width=\dfrac{1806 \div 42}{210 \div 42}[/tex]

[tex]\sf \implies width=\dfrac{43}{5}[/tex]

[tex]\sf \implies width=8\frac35[/tex]

[tex] \pink{ \text{Given:}}[/tex]

[tex] \\ [/tex]

[tex] \star \sf{}Area =90 \dfrac{3}{10} [/tex]

[tex] \\ [/tex]

[tex] \star \sf{}Length =10 \dfrac{1}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \purple{ \text{To~Find:}}[/tex]

[tex] \\ \\ [/tex]

[tex] \star \sf Width \: of \: rectangle[/tex]

[tex] \\ \\ [/tex]

[tex] \orange{ \text{Solution:}}[/tex]

[tex] \\ \\ [/tex]

So first convert length and area from fraction form to decible.

[tex] \leadsto\sf{}Area =90 \dfrac{3}{10} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Area = \dfrac{903}{10} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Area =90.3[/tex]

[tex] \\ [/tex]

Now convert value length into decibel .

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length =10 \dfrac{1}{2} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length = \dfrac{21}{2} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length = 10.5[/tex]

[tex] \\ [/tex]

We know :-

[tex]\bigstar\boxed{\rm Area~of~rectangle= length \times width}[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \\ [/tex]

[tex]: \implies\sf Area~of~rectangle= length \times width \\ \\ \\ : \implies\sf 90.3= 10.5 \times width \\ \\ \\: \implies\sf 90.3 \div 10.5=width \\ \\ \\: \implies\sf \dfrac{ 90.3}{10.5}=width \\ \\ \\: \implies\sf \dfrac{ 90 \cancel.3}{10 \cancel.5}=width \\ \\ \\: \implies\sf \dfrac{ 903}{105}=width \\ \\ \\: \implies\sf width = \dfrac{ 903}{105} \\ \\ \\: \implies \underline{\boxed{\sf width = 8.6}} \pink\bigstar[/tex]

[tex]\\\\\\[/tex]

Know More:

[tex]\begin{lgathered}\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}[/tex]

Which is a better price: 5 for $1.00, 4 for 85¢, 2 for 25¢, or 6 for $1.10?

Answers

Answer:

2 for 25

Step-by-step explanation:

all you have to do is divide money by the number of items.

Can you do this for me pls

Answers

[tex]\frac{x}{y}[/tex]Answer:

Step-by-step explanation:

algebraic thingking: (going from up to down)

1. 30 2. 28 3. 9 4. 20

base ten numbers(up to down)

1. 4.6  2. 46  3.  460 4. 4600

( when your multilplying decimals with multiples of ten or numbers that end in ten... then the decimals movies however many spaces to the RIGHT, depending on how many zeros:)

fractions

1. 1 [tex]\frac{1}{2}[/tex] 2. 3 [tex]\frac{1}{3\\}[/tex]

measurment and data

take a better picture of the number line because i cant see the numbres on it:(

geometery

1. Yes, since the sum of angles of a triangle is 180 degrees. If there are two right angles in a triangle then the third angle will be zero degrees, which is quite impossible hence this will not form a triangular shape. This will negate the properties of a triangle.

2.  No, not always.

Square is a specific form of a parallelogram when all the sides are equal & each interior angle of a parallelogram is a right angle.

if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)

Answers

Answer:

f(5)=26

Step-by-step explanation:

hello :

f(n)=f(n-1)+4   means :  f(n)-f(n-1)=4  (comon diference for arithm - sequence)

so : f(n) =f(1)+(n-1)×4

f(n) =10+(n-1)×4

f(n) = 4n+6

f(5) = 4(5)+6 =26

(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)

Answers

it’s the third one :)))))

I just need to fill the table out

Answers

Answer:

for cosine: 1, 0.97, 0.87, 0.71, 0.5, 0.26, 0..... for sine: 0, 0.26, 0.5, 0.71, 0.87, 0.97, 1.

Step-by-step explanation:

Calculator for Cos, reverse them for Sine.

What classification is the following expression?

Answers

Answer:

Types of algebraic expressions may further be distinguished in the following five categories. They are: monomial, polynomial, binomial, trinomial, multinomial. 1. Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Step-by-step explanation:

1+1=2

How do function models help us to understand the world?

Answers

Answer:

mathematical represents alot of stuff in the really world

please help ill give pointssssss

Answers

Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.

What is the value of n?

The value of n can be found by making n the subject of the formula as shown below;

27π = πn

n = 27π / π

Solving of n therefore gives:

n = 27π/π

n = 27

In conclusion, n is 27.

Find out more on finding terms at https://brainly.com/question/25827678.


The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=

Answers

Answer:

k= -5

Step-by-step explanation:

The equation for slope is rise over run which is also (y2-y1)/(x2-x1)

with the given coordinate being (x,y)

So, we just plug the given values into the equation in order to solve for k.

(9-k)/(-6-1)= -2

First let's simplify the denominator:

(9-k)/(-7)= -2

then we get rid of the denominator by multiplying it on both sides:

(9-k)= (-7)*(-2)

(9-k) = 14

-k = 5

k=-5

If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.

Answers

120 kids went on the field trip
85 + 35 = 120

HELPP PLSS!!!!!!!
Find the volume of the following objects.

Answers

Answer:

First cone: 29.32

Steps:

1. 3.14(2^2)7/3

2. 3.14(4)7/3

3. 12.56(7/3)

4. 12.56(2.3

5. 29.32

Second cone: 1526.81

Divide 18 in half and so same steps as above to get the answer! :)

Have a great day!!

Please rate and mark brainliest!!

Answer:

Cone 1 = 29.32mi || Cone 2 = 1526.81

Step-by-step explanation:

Step 1) Apply formula (volume of cone)

V= 1/3 * π * r^2 * h [OR] V= π * r^2 * h/3

Step 2) Insert numbers. (cone 1)

V= π * 2^2 * 7/3

Step 3) Insert numbers. (cone 2)

V= π * 9^2 * 18/3 (r=9 because r=1/2 base diameter of circle, 18/2=9)

Step 4) Plug and solve.

Step 5) CHECK YOUR ANSWER BEFORE SUBMISSION. Do it a few times just to make sure it checks out, and then continue!

For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8

Answers

Answer:

No it is not a solution to 6u-1<-19

Write the following as an inequality.
5 is greater than or equal to w, and -5 is less than or equal to w
use w only once in your inequality

Answers

Answer:

[tex]-5\leq w\leq 5[/tex]

[tex]\huge\underline\mathtt\red{Answer:}[/tex]

−5 ≤ w ≤ 5

A little confused can I get some help?

Answers

Answer:

Step-by-step explanation:

4+(7-5)2= 8 I guess

the education foundation hosted an anual fundrasing dinner. there were 192 tickets printed for the dinner and each dinner ticket cost $12.50. if 3/4 of the dinner tickets were sold, how much money was rasied frome the dinner ticket sales?

Answers

Answer:

Step-by-step explanation:

A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models the cost of a box with side lengths as shown (measured in inches).
Identify a reasonable domain and range for the function.

Answers

So the function is

[tex]\\ \rm\rightarrowtail y=4.5x^2[/tex]

As we know

x²≥0x≥0

hence domain is

[tex]\\ \rm\rightarrowtail D_f\in R[/tex]

Least value of function is at x²=0 i.e 0

Hence range:-

[tex]\\ \rm\rightarrowtail R_f\in [0,\infty)[/tex]

Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Justin can use while staying within his budget

Answers

Answer:

56 + 5xx < 65

xx < 1.8

Step-by-step explanation:

56 + 5xx < 65


subtract 56 on both sides

56 + 5xx < 65

-56 -56

5xx < 9


divide by 5 on both sides


5xx/5 < 9/5

xx < 1.8 gigabytes

use the distributive property to write an equivalent expression to each of the following

(-4x +(2x)

Answers

Hey there!

(-4x + (2x)

= -4x + 2x

COMBINE the LIKE TERMS

= (-4x + 2x)

= -4x + 2x

= -2x


Therefore, your answer is: -2x


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
.​

Answers

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]

How do I solve the area for the shapes?

Answers

Answer:

shaded: 45 units²non-shaded: 36 units²total area: 81 units²

Step-by-step explanation:

A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.

For a problem like this, working the last question first can make it easier.

Total

The total area is the area of a square 6+3 = 9 units on a side. Its area is ...

  Total area = s² = (9 units)² = 81 units²

__

Non-shaded

The area of each of the four non-shaded triangles is ...

  A = 1/2bh = 1/2(6 units)(3 units) = 9 units²

There are 4 triangles with that area that are not shaded, so ...

  Non-shaded region = 4 × (9 units²) = 36 units²

__

Shaded

The shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...

  Shaded area = Total area - Non-shaded area

  Shaded area = 81 units² -36 units² = 45 units²

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

on the 10th day from option A you would get $196.83. on the 10th day from option B you would get $1,000.

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Given:

Option A: You Receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day,and so on, tripling each day.

Option B: You receive $100 each day(Day 1, you would receive $100, Day 2, you would receive $100..)

You will receive the month that is offered on day 10. Which option would you choose? Use the table and/ or graph to organize your thinking.

-------------------------------------------------------------------------------------------------------------

Option A                                                                       Option B:

Tripling = times 3                                                       Add $100

       Table:                                                                  Table:

[1] 1¢                                                                             [1] $100

[2] 3¢                                                                           [2] $200

[3] 9¢                                                                           [3] $300

[4] 27¢                                                                          [4] $400

[5] 81¢                                                                         [5] $500

[6]$2.43                                                                       [6] $600

[7] $7.29                                                                       [7] $700

[8] $21.87                                                                    [8] $800

[9] $65.61                                                                  [9] $900

[10] $196.83                                                              [10] $1000

-------------------------------------------------------------------------------------------------------------

Thus, I will choose option B.

-------------------------------------------------------------------------------------------------------------

~lenvy~

120 - 4.5x = 45 + 0.5x

Answers

Answer:

x = 15

Step-by-step explanation:

You're trying to solve for x by doing two-step equations.

120- 4.5x = 45 + 0.5x

Add 4.5x to both sides and subtract 45 to both sides.

**Note I did 2 things at once to make it easier to look at.

120-45 = 4.5x + 0.5x

75 = 5x


Now divide 75 by 5

x = 15

how many square yards of carpet should stella order if her bedroom measures nine by twelve feet

Answers

36 square yards bc you multiply 9 and 12 which equals 108 and then divide that by 3 since we are talking abt yards which leaves you with 36

Which term BEST describes 11 in the data set?

32, 29, 30, 35, 31, 34, 11

A.mean
B.media
C.mode
D.outlier

Answers

Answer:

Choice D.

Outlier

I think it is d because the others don’t match

$1200 at 12% for 3 years

Answers

Answer:

$1,689.

Step-by-step explanation:

Answer:

If this is compound interest and it is compouned annually,the answer is $1,685.91

If this is simple interest, the answer is $1,632.00

Step-by-step explanation:

Equation for compound interest.

[tex]A=P(1+\frac{r}{n})^{n*t}[/tex]

[tex]A=1200(1+\frac{0.12}{1})^{1*3}[/tex]

[tex]A=1685.91[/tex]

Equation for simple interest.

[tex]A=P(1+r*t)[/tex]

[tex]A=1200(1+0.08*3)[/tex]

[tex]A=1632.00[/tex]

Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?

Answers

Answer:

10.50$

Step-by-step explanation:

3 dollars a pound

3x3=9

half a pound, half the price which is 1.50$

9+1.50= 10.50

Answer:

$10.465 ≈ $10.47

Step-by-step explanation:

3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47

Please mark as brainliest.

i
think of a number multiply it by seven then add 8 to it and the results is 29 find the number

Answers

Answer:

3

Step-by-step explanation:

29 - 8 = 21

21 / 7 = 3

Therefore, the answer is 3

Answer:

wouldnt it be 3? cause 3*7=21 then add 8 thats 29

Step-by-step explanation:

Evaluate the following, if a=7, b=3, c=2

what is a2 ( two is a exponet )-5bc-1
please hurry.
i'll give you 70 points!

Answers

Answer:

Step-by-step explanation:

a^2 - 5bc - 1

a = 7

b = 3

c = 2

7^2 - 5*3*2 - 1

49 - 30 - 1

18

pls what is the awer

Answers

10/75=13.333333334 so around 66 people

you can also just divide 500 by 75 then take it times 10 :)

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