Question

Watching from the top of a 30 m high tower, angle of depression of a stone on the ground is found to be 45, then the distance of the stone from the lease of the tower is ……..m.​

Answer 1

Answer:

The hight of the pole is 21.1 m

Step-by-step explanation:

Let the height of the pole be h and the distance between the pole and the tower be x.

It can be observed that,

tan 60° = 50

x

x = 50

√3

And ,

tan 45° = 50-h

x

1 = 50-h

x

50-h = x

50-h = 50

√3

h = 50 - 50

√3

h = 50 (√3-1)

√3

h = 21.1m

Therefore the height of the pole is 21.1m.