Question

a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m high,how far is the car from the building?​

Answer 1

Given :

A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.

To Find :

How far is the car from the building.

Solution :

Let, distance between car and the building is x m.

So,

`tan \ \theta = (height\ of\ building + height\ of\ man)/(distance \ between \ car \ and \ building)\\\\tan \ 60^o = (30+1.3)/(x)\\\\x = (31.3)/(1.73)\ m\\\\x = 18.09\ m`

Hence, this is the required solution.