Answer
The distance \[550\] workers had to drag a stone to raise it to a height of \[30\text{ ft}\]is\[192.3\text{ ft}\]
Work Step by Step
Angle of elevation is the angle made by the horizontal line and the line of sight to an object. Since the angle of elevation opposite to the height of ramp and next to the hypotenuse of the ramp, use the Sine ratio formula:
\[\sin \theta =\frac{a}{c}\].
Where a; is the side opposite to the angle and b is the side adjacent to the angle. Here, a is \[30ft\].
Compute the angle of slope which is between the base and the hypotenuse is\[9{}^\circ \]b is compute as follows:
\[\sin 9{}^\circ =\frac{30\text{ }}{b}\text{ft}\]
Therefore simplifying further
\[\begin{align}
& b=\frac{30\text{ }}{\sin 9{}^\circ }\text{ft} \\
& =\frac{30\text{ }}{0.156}\text{ft} \\
& =192.3\text{ ft}
\end{align}\]
