Solve the following problem (using solution by sine law/cosine law): Two surveyors, Alice and Bob, need to determine the height of a steep cliff. They stand 50 m apart where they each have a clear view of the cliff and each other. Bob measures an angle of elevation of 61◦ from the base of the cliff to its highest point. He also measures the angle between Alice and the base of the cliff as 72◦ . Alice measures the angle between Bob and the base of the cliff as 38◦ . How tall is the cliff?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Solve the following problem (using solution by sine law/cosine law):

Two surveyors, Alice and Bob, need to determine the height of a steep cliff. They stand 50 m apart where they each have a clear view of the cliff and each other. Bob measures an angle of elevation of 61◦ from the base of the cliff to its highest point. He also measures the angle between Alice and the base of the cliff as 72◦ . Alice measures the angle between Bob and the base of the cliff as 38◦ . How tall is the cliff?

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