Question

A man of 1.5 m tall 28.5 m away from tower angle of elevation is 45 find height of tower

Answer 1

Given the height of the observer be DE = 1.5 m

That is AB = 1.5 m

Let BC = h is height of the chimney

Hence AC = (h – 1.5) m

Given distance between the observer and the chimney is AD = BE = 28.5 m

In right DCAD, θ = 45°

∴ h = 28.5 +1.5 = 30 m

Thus the height of the chimney is 30