Question

From the top of a hill 200 m high, the angles of depression of the top and the bot tom
of a pillar are 30° and 60° respectively. Find the height of the pillar and its distance
from the hill. (Take V3 = 1.732]​

Answer 1

Step-by-step explanation:

Let CE is a pole of height h meter. AD is a hill of height 200 m. 

Let distance between bottom of hill to pole = x m.

According to question

  ∠XAC= 30° = ∠ACB and ∠XAE = 60° = ∠AED

From right angled ∆ADE

tan 60° = AD/DE

⇒ √81 = 200/x

⇒ x = 200/√3 m

From right angled ∆ABC,

Hence, height of pole = 133.33 m.