Answer
$191.77$ feet
Work Step by Step
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
