Question

A 1.5 m tall boy is looking at the top of a temple which is 30 meter in height from a point
temple increases from 30° to 60° as he walks towards the temple. Find the distance he
walked towards the temple.
at certain distance. The angle of elevation from his
to​

Answer 1

Answer:

4/57√3 m

Step-by-step explanation:

Height of the boy = 1.5 m = 15/10 m

Height of the temple = 30 m

Angle of elevation from the boy to temple = 30°

Distance between the boy and temple = 10/(Tan 30° × 285)

=> 10/(1/√3)(285) = 10√3/285 = 2√3/57 m

Distance between the boy and the temple after walking towards the temple = 10/ Tan 60° × 285 = 10/285√3

= 2/57√3

Distance walked by the boy towards the temple = Initial distance between the boy and the temple - Final distance between the boy and the temple = 2√3/57 - 2/57√3

= 6 - 2/57√3 = 4/57√3 m