A communication tower (the side CB) is located at the top (the point C) of a steep hill. The angle of inclination of the hill is 58 degrees. A guy wire is to be attached to the top (the point B) of the tower and to the ground (the point A), 101 m downhill from the base of the tower (the side AC). The angle ∠BAC is 12 degrees. Find the length of cable (the side AB) required for the guy wire in meters

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 14EQ
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A communication tower (the side CB) is located at the top (the point C) of a steep hill. The angle of inclination of the hill is 58 degrees. A guy wire is to be attached to the top (the point B) of the tower and to the ground (the point A), 101 m downhill from the base of the tower (the side AC). The angle ∠BAC is 12 degrees.

Find the length of cable (the side AB) required for the guy wire in meters

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