CPM Homework Help : PC3 Problem 11-116

Marsha and Edwin want to know how far they will have to swim to get across a small pond. They have a $100$ -foot rope that they place at the waters edge (in a straight line), then standing at each end, they use a compass to measure the angle between the rope and a tree on the other side of the lake. Marsha’s angle is $67°$ . Edwin’s angle is $81°$ . How far will they have to swim to get to the other side of the pond?

Hint:

Triangle, vertices labeled, bottom left, Marsha, top, tree, bottom right, Edwin, with dashed segment, labeled, d, from top vertex, perpendicular to bottom side, dividing bottom side, labeled 100 feet, into 2 parts, left part labeled, x, right part labeled, 100 minus x, bottom left angle labeled 67 degrees, bottom right angle labeled 81 degrees.