Question

A string attached to an airborne kite was maintained at an angle of 40.0 with the ground. if 120m of string was reeled in to return the kite back to the ground. what was the horizontal displacement of the kite

Answer 1

The hypotenuse is measured at 120 meters of string, and you need to solve for the leg of the triangle that is horizontal. The degree is 40, so use trigonometry to figure it out.
Cosin (40) is equal to around .766
Adjacent/Hypotenuse
x/120 = cos40
Answer: 91.92533.
If you use 3 significant figures it should be 91.9 meters.