Question

The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?

Show your work please)

Answer 1

50√3 ≈ 86.6 m

Explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

Sin = Opposite/Hypotenuse

sin(60°) = (kite height)/(100 m)

kite height = (100 m)·sin(60°) = (100 m)(√3)/2

kite height = 50√3 m ≈ 86.6 m