If the length of the shadow of a tower is timed its height then the angle of elevation of the sun is
Let AB be the tower and BC be the shadow. Join A and C. We get a right-angled triangle right-angled at B. The angle of elevation of the sun is ∠ACB(θ, say). Given that, BC = √3AB. We will use trigonometric ratio tan for the triangle taking AB as height and BC as the base.
In ∆ABC,
or,
θ = 30°
since we know that tanθ is 1/√3 whenever θ = 30°.
So, the correct option is (B).