Answer
The distance of the ship from the base of the statue is\[695\text{ ft}\].
Work Step by Step
The 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 statue and next to the base of the statue, use the tangent ratio formula:
\[\tan \theta =\frac{a}{b}\]
Where a; is the side opposite to the angle and b is the side adjacent to the angle. Here, a; is\[305\text{ ft}\]and b is computed as follows:
\[\tan 23.7{}^\circ =\frac{305\text{ ft}}{b}\]
Therefore, simplifying further, we get,
\[\begin{align}
& b=\frac{305\text{ ft}}{\tan 23.7{}^\circ } \\
& =\frac{305\text{ ft}}{0.4387} \\
& =695\text{ ft}
\end{align}\]
