31.5k views
4 votes
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

User Kaylin
by
5.7k points

2 Answers

4 votes
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. 
User Gustavo Lopes
by
6.6k points
7 votes
you don't say if the answer needs to be rounded
the height is 77.27 meters ( not rounded)

see attached picture for solution:

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an-example-1