Question

the angle of elevation of top of a tower from a point is 30°.On advancing 150 m towards foot of the tower the angle of elevation of top of tower become 60°.Find the height of the tower​

Answer 1

Answer:

tan(60

∘

)=

x

h

=

3

....... equation 1

tan(30

∘

)=

x+150

h

=

3

1

....... equation 2

Dividing both equations:

x

x+150

=3

Therefore, x=75

Put value of x in equation 1

75

h

=

3

Hence, h=75

3

=129.9 metres.

Answer 2

The height of the tower is 75√3m.

I hope it will help you