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

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°

60 ft 50 ft 80

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