From the top of a building 60 m high, the angles of depression of the top and the bottom of a lamp post are 30° and 60°. The height of the lamp post, in metres, is:

Question

Accepted Answer

40. The horizontal distance is 60/tan60° = 20√3. The top of the post is 20√3·tan30° = 20 m below the building top, so the post is 60 − 20 = 40 m tall.

From the top of a building 60 m high, the angles of depression of the top and the bottom of a lamp post are 30° and 60°. The height of the lamp post, in metres, is:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Trigonometry practice