## Precalculus (6th Edition) Blitzer

$191.77$ feet
The trigonometric ratios are as follows: $\sin \theta =\dfrac{opposite}{hypotenuse}$ $\implies hypotenuse ( h) =\dfrac{opposite}{\sin \theta}$ $\implies hypotenuse ( h) =\dfrac{30}{\sin 9^{\circ}}$ $\implies hypotenuse ( h) =\dfrac{30}{0.156}=191.77$ feet Therefore, the required distance $550$ people had to move to raise the stone to a height of 30 feet is equal to $191.77$ feet