Answer
The distance from the island off the coast is\[1376\text{ ft}\].
Work Step by Step
Angle of depression is the angle made by the horizontal line and the line of sight to an object which is below the horizontal line.
The angle which the island made with the point P can be computed as:
\[90{}^\circ -36{}^\circ =54{}^\circ \]
Since the angle of elevation opposite to the height of helicopter and next to the base of the island.
The angle of elevation can be computed by applying 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, b is\[1000\text{ ft}\].
The value of\[\tan \theta \]can be computed as shown below:
\[\begin{align}
& \tan 54{}^\circ =\frac{a}{1000} \\
& a=1000\tan 54{}^\circ \\
& a=1000\times 1.376 \\
& a=1376\text{ ft}
\end{align}\]
