The length of the shadow of a tower on the plane ground is √3

Leave a Comment / trigonometry applications / By Sapling Academy

Q) The length of the shadow of a tower on the plane ground is √3 times the height of the tower. Find the angle of elevation of the sun.

Ans:

Let the tower be AB and its shadow be AC and angle of elevation from point C be θ

Given that AC = √3 x AB

Now in Δ ABC, tan θ = $\frac{AB}{AC} = \frac{AB}{\sqrt 3 AB} = \frac{1}{\sqrt3}$

It means, θ = 30⁰

Therefore, angle of elevation of the sun is 30⁰

Leave a Comment Cancel Reply