Question

A circus artist is climbing a 20 metre long rope which is tightly streched and tied from the top of a vertical pole to the ground find the height of the pole if the angle made by the rope with the ground level is 30 degree.

Answer 1

Define x:

Let x be the height of the pole

Solve x:

sinø = opp/hyp

sin(30º) = x/20

x = 20sin(30)

x = 10 m

Answer: The pole is 10m tall

Answer 2

SOLUTION :-

Let x be the height of the pole


Now ,

We have to Simplify x

So ,

sinø = opp / hyp

sin(30º) = x/20

x = 20sin(30)

x = 10 m

Hence ,

The height of pole is 10 m .