A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 72°. A guy wire is to be attached to the top of the tower and to the ground, 166 ft downhill from the base of the tower. The angle formed by the guy wire is 14°. Find the length of the cable required for the guy wire. length of guy-wire = _______ ft

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 72°. A guy wire is to be attached to the top of the tower and to the ground, 166 ft downhill from the base of the tower. The angle formed by the guy wire is 14°. Find the length of the cable required for the guy wire.

length of guy-wire = _______ ft

14°
166 ft
72°
NOTE: The picture is NOT drawn to scale.
Transcribed Image Text:14° 166 ft 72° NOTE: The picture is NOT drawn to scale.
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