Joyce Decker

2023-03-10

Find the angle of elevation of the Sun when the shadow of a pole "h" m high is "" m long.

Anastasia Lee

Assume that the Sun is elevated at an angle of θ.
Given, height of pole = h
Now, in ΔABC,
$tan\theta =\frac{AC}{BC}=\frac{h}{\surd 3h}$
$⇒\mathrm{tan}\theta =\frac{1}{\surd 3}=\mathrm{tan}{30}^{\circ }⇒\theta ={30}^{\circ }$
Therefore, the angle of elevation of the Sun is ${30}^{\circ }$.

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