The angle of elevation of the sun when the shadow of a pole h metres is √ 3h metres long is

Prove the following:

Find the angle of elevation of the sun when the shadow of a pole h metres high is `sqrt(3)` h metres long.

Let the angle of elevation of the Sun is θ.

Given, height of pole = h m

Now, In ∆ABC

`tan theta = (AC)/(BC) = h/(sqrt(3)h)`

⇒ `tan 30^circ`

⇒ `theta = 30^circ`

Hence, the angle of elevation of the Sun is 30°.

Concept: Proof of Existence

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