1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
3 years ago
14

The sun is 25 degrees above the horizon. find the length of a shadow cast by a building that is 100 feet tall. round your answer

to two decimal places. the length of the shadow is ____ feet.

Mathematics
2 answers:
scoray [572]3 years ago
8 0
<span><u>Answer</u>
214.45 feet

<u>Explanation </u>
The sun is 250 above the horizon. This means that the angle of elevation is 25o.
Since you have been given the height of the building, you can use the trigonometric ratio (tangent) to find the length of the shadow (l).
tan⁡〖= 〗 oposite/adjacent
tan⁡25=100/l
l=100/tan⁡25 =214.4506921
Length of the shadow = 214.4506921 feet 
</span>
katovenus [111]3 years ago
3 0

Answer:

214.45 feet.    

Step-by-step explanation:

Please find the attachment.

Let x be the length of building's shadow.

We have been given that the sun is 25 degrees above the horizon. The length of the building is 100 feet tall.

We can see from our attachment that the length of the building is opposite side and the length of the shadow is adjacent side for the angle of 25 degrees.

Since tangent relates the opposite side of right triangle with adjacent side, so we can set an equation to find the length of building's shadow as:

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(25^{\circ})=\frac{100}{x}      

x=\frac{100}{\text{tan}(25^{\circ})}

x=\frac{100}{0.466307658155}

x=214.45069\approx 214.45

Therefore, the length of shadow cast by the building is 214.45 feet.

You might be interested in
What’s the slope intercept form of (2,5) and (0,1)
Travka [436]

Answer:

y=2x+1

Step-by-step explanation:

First you have to find the slope:

5-1/2 so 4/2 or 2

Then you write it in point-slope: (I used the point (0,1))

y-1=2x

Simplify than:

y=2x+1

8 0
3 years ago
E^3x.cos4x.sin2x hii please solv this​ you have to differentiate
finlep [7]

Answer:

y = e^{3x}.cos4x.sin2x

=> y' =- 3e^{3x}.4sin4x.2cos2x=-24.e^{3x}.sin4x.cos2x

dy=y'.dx => dy = -24e^{3x}.sin4x.cos2x.dx

Step-by-step explanation:

6 0
2 years ago
Which one of the following represents “nine less than three times a number is fourty” 9n-3n=40
lys-0071 [83]

3n-9=40 is your answer :)

6 0
3 years ago
Read 2 more answers
Which of these options for saving money typically offers the lowest interest rate?
Gwar [14]
D. savings account.....
5 0
3 years ago
Read 2 more answers
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = −sin x, [0,
deff fn [24]

Answer with Step-by-step explanation:

We are given that

f(x)=-sin x

[0,\infty]]

Average value of the function is given gy

f_{avg}=\frac{1}{b-a}\int_{a}^{b}f(x)dx=\frac{1}{\pi-0}\int_{0}^{\pi}-sinx dx

f_{avg}=\frac{1}{\pi}[cosx]^{\pi}_{0}

Using the formula

\int sin xdx=-cos x

f_{avg}=\frac{1}{\pi}(cos\pi-cos0)

f_{avg}=\frac{1}{\pi}(-1-1)=-\frac{2}{\pi}

f(x)=f_{avg}

-sinx=-\frac{2}{\pi}

sinx=\frac{2}{\pi}

x=sin^{-1}(\frac{2}{\pi})=0.69radian

7 0
3 years ago
Other questions:
  • The graph highlights two other points on the trend line. Use them to find another equation for the trend line shown for this sca
    14·2 answers
  • 7. Work out the gradient of the line y + 7x = 8<br><br> Is anyone able to help much appreciated
    7·2 answers
  • What is the measure of an angle whose degree is five times its compliment?​
    5·1 answer
  • 2(2t+4)=3-4(24-8t)<br>bruh help​
    11·2 answers
  • Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and
    7·1 answer
  • Of the students in Mrs. Henderson's class, 3/5 participate in an after school sport. Of these,1/2 play lacrosse. What fraction o
    7·1 answer
  • The area of a square is a powered by the 2 where is the side length find the area of a square with side length 3 units
    11·1 answer
  • Jane incorrectly finds the volume of the cone using the following work. Explain Jan’s error and find the correct volume AND surf
    7·1 answer
  • Name 2 types of subtraction
    8·2 answers
  • What is (o.4+1.6) x 6 answer
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!