From a 200m high tower, angles of depression to two cars in a straight line on the same side are 30^{\circ} and 60^{\circ}. Find the distance between the cars.

Explanation

Given: ​ Height (h) = 200 m Angles = 30∘ , 60∘ Solution:​ Copyright © 2026 Adda247 Let ​ distance of cars from base be d1 and d2 . ​ ​ d1 = h cot 30∘ = 200 3 ​ ​ 200 d2 = h cot 60∘ = 3 ​ ​ ​ Distance between cars = d1 − d2 ​ ​ 200 = 200 3 − 3 ​ ​ ​ 1 = 200 ( 3 − ) 3 ​ ​ ​ 3−1 400 = 200 ( )= m 3 3 ​ ​ ​ ​ Final Answer 400 m​ 3 ​ ​