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Masja [62]
3 years ago
11

3. A utility pole is 38 ft tall. The pole creates a 53 ft shadow. What is the angle of elevation of the sun? Round your answer t

o the nearest degree. Show your work

Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

The angle of elevation of the sun is 36\degree.

Step-by-step explanation:

Let x be the angle of elevation of the sun as shown in the diagram.


Then the side length which is 38 feet is opposite to x and the side length which is 53 feet is adjacent to x.


Therefore we use the trigonometric ratio that involves the opposite and adjacent sides, which is the tangent ratio.


\tan x=\frac{38}{53}


\Rightarrow \tan x=0.71698


We solve for x to get,


x=\arctan (0.71698)


\Rightarrow x=35.63981


To the nearest degree, the angle of elevation is 36\degree







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