Question

The shadow of a tower standing on a level plane is found to be 50m longer when the sun’s altitude is 30° that when it is 60°. Find the height if the tower.

(a) 1.732 m

(b) 43.3 m

(c) 25 m

(d) 25√3 m

The question was posed to me at a job interview.

My doubt is from Units and Measurements in portion Advanced Engineering Materials of Engineering Physics II

Answer 1

The correct answer is (b) 43.3 m

Easy explanation: h = d/(cotθ2-cotθ1)

Here, d = 50m

θ1 = 60°

θ2 = 30°

h = 43.3 m.