Question

A kite on a 100-foot string is fastened to the ground, making a 25° angle with the ground. To the nearest tenth of a foot, how high above the ground is the kite?

Answer 1

Answer: 42.3 ft

Explanation:

Draw a picture (see attachment)

Given: angle = 25°, hypotenuse = 100, opposite = ???

`\sin\theta=(opposite)/(hypotenuse)\quad \rightarrow \quad \sin25^o=(y)/(100)\quad \rightarrow \quad 100\ \sin 25^o=y\\`

`\large\boxed{42.3\ ft}=y`