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 theta = sqrt(1)/3`
⇒ `tan 30^circ`
⇒ `theta = 30^circ`
Hence, the angle of elevation of the Sun is 30°.
Concept: Proof of Existence
Is there an error in this question or solution?
Find the angle of elevation of the Sun when the shadow of a pole "h" m high is "√3 h" m long.
Open in App
Suggest Corrections
1