Question

Help please it’s urgent, don’t know how to do this

Answer 1

Answer:

$611\:\text{ft}$

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. In this angle marked as $42^{\circ}$ is actually the same as the angle with point $P$.

Therefore, we can set up the following equation:

$\tan 42^{\circ}=\frac{550}{x}$, where $x$ is the distance from the coast.

Solving, we get:

$x=\frac{550}{\tan 42^{\circ}},\\x\approx610.84\approx \boxed{611\:\text{ft}}$