Question

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75 with the ground. The height of the kite from the ground is meters

Answer 1

You don't say if the answer needs to be rounded 
 the height is 77.27 meters ( not rounded)

 see attached picture for solution:

Answer 2

The height of the kite would be 77.27 m. This can be found using the law of sines. Assuming that the kite also makes a 90 degree angle with the ground, the proportion 80/sin90=h/sin75 can be used. Then, cross multiplication gets sin75x80=sin90xh. Divide both sides by sin90, and that results in 77.27 m.