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

Step-by-step explanation:

Draw a picture (see attachment)

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

$\sin\theta=\dfrac{opposite}{hypotenuse}\quad \rightarrow \quad \sin25^o=\dfrac{y}{100}\quad \rightarrow \quad 100\ \sin 25^o=y$

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