Question

A hot air balloon is attached to the ground by a cable that is 200 meters long and the cable makes a 57 degree angle. How many meters above the ground is the balloon if there is no slack in the cable?

Answer 1

The balloon is 167.6 meter above the ground if there is no slack in the cable

Explanation:

The image for the question is attached. please refer

As we know

sinθ= Perpendicular/ Hypotenuse

Here Perpendicular
`= 200`

Substituting the given values in above equation, we get -

`Sin\Theta = (H)/(200)\\H = Sin (57) * 200\\H = 0.838 * 200 \\H = 167.6`meter