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Active Prelude to Calculus

Activity 4.1.4.
We want to determine the distance between two points \(A\) and \(B\) that are directly across from one another on opposite sides of a river, as pictured in the given diagram. We mark the locations of those points and walk \(50\) meters downstream from \(B\) to point \(P\) and use a sextant to measure \(\angle BPA\text{.}\) If the measure of \(\angle BPA\) is \(56.4^{\circ}\text{,}\) how wide is the river? What other information about the situation can you determine?