Two homes are located on opposite sides of a small hill. See the illustration. To measure the

Question:

Two homes are located on opposite sides of a small hill. See the illustration. To measure the distance between them, a surveyor walks a distance of 50 feet from house P to point R, uses a transit to measure ∠PRQ, which is found to be 80°, and then walks to house Q, a distance of 60 feet. How far apart are the houses?

60 ft 50 ft 80°