Answer
The measure of the distance across the lake is\[31\text{ m}\].
Work Step by Step
Compute the measure of the distance across the lake as mentioned below:
\[\tan A=\frac{\text{P}}{\text{B}}\]
\[\tan 32{}^\circ =\frac{\text{P}}{50}\]
\[\begin{align}
& \text{P}=\text{tan32}{}^\circ \times 50 \\
& =\text{31 m}
\end{align}\]
