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Home > PC3 > Chapter 11 > Lesson 11.2.3 > 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 -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 . Edwin’s angle is . How far will they have to swim to get to the other side of the pond?

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.