Question

A 24 foot utility pole casts a 32 foot shadow to the nearest degree find angle of elevation of the sun
A)37
B)41
C)49
D)53
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Answer 1

$\tan\theta=\dfrac{24}{32}\implies\theta\approx37^\circ$

Answer 2

Answer:

37 °

Step-by-step explanation:

A right angle triangle is formed with the legs of the triangle as 24 foot and 32 foot. let x be the angle of elevation of sun.

For angle x the adjacent side is 32 foot and the opposite side is 24 foot.

Tanx=$\frac{opposite}{adjacent}$

Or Tanx =$\frac{24}{32}$

$x=Tan^{-1}\frac{24}{32}$

x=36.86 degrees.

x=37 degrees.

The angle of elevation of the sun  is 37°.