Question

the horizontal distance between two towers from top of the shorter one is 30° . if the height of the taller tower is 150m .then find the height of the shorter tower

Answer 1

AB is the taller tower = 150 m

Distance between two towers = CB = DE = 60 m.

Let height of the small tower = h m

In ΔADE,

tan 30 = ( 150 - h) / 60

1/ √3 = (150 - h) / 60

150 - h = 20√3

h = 150 + 20√3.


∴ Height of the smaller tower = 150 + 20√3.