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Question
Find the angle of elevation of the sun when the shadow of a pole h metres high is `sqrt(3)` h metres long.
Solution
Let the angle of elevation of the sun is θ.
Given, height of pole = h m
Now, In ∆ABC,
tan θ = `"AC"/"BC" = "h"/(sqrt(3)"h")`
⇒ tan θ = `1/sqrt(3)`
⇒ tan 30°
⇒ θ = 30°
Hence, the angle of elevation of the sun is 30°.
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