A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find the length of the cable required for the guy wire to the nearest whole meter. 16° 165m 67° The length of the cable is m.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
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A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top
of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find
the length of the cable required for the guy wire to the nearest whole meter.
16°
165m
67°
The length of the cable is
m.
Transcribed Image Text:A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find the length of the cable required for the guy wire to the nearest whole meter. 16° 165m 67° The length of the cable is m.
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