Answered

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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Verified Answer :

LammettHash

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

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°.

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