A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 77º. A guy wire is to be attached to the top of the tower and to the ground, 153 m downhill from the base of the tower. The angle formed by the guy wire is 11°. Find the length of the cable required for the guy wire. 77° 11° 153 m NOTE: The picture is NOT drawn to scale. length of guy-wire = m

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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 77º. A guy wire is to be attached to the
top of the tower and to the ground, 153 m
downhill from the base of the tower. The angle
formed by the guy wire is 11º. Find the length of
the cable required for the guy wire.
77°
11°
153 m
NOTE: The picture is NOT drawn to scale.
length of guy-wire =
m
Transcribed Image Text:A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 77º. A guy wire is to be attached to the top of the tower and to the ground, 153 m downhill from the base of the tower. The angle formed by the guy wire is 11º. Find the length of the cable required for the guy wire. 77° 11° 153 m NOTE: The picture is NOT drawn to scale. length of guy-wire = m
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