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

Question

Finger [1]

3 years ago

7

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

Mathematics

2 answers:

GuDViN [60] · Answer 1 · 2022-06-08T21:50:56+03:00

GuDViN [60]3 years ago

6 0

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

see attached picture for solution:

ANTONII [103] · Answer 2 · 2022-06-08T23:58:11+03:00

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.