A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 78°. A guy wire is to be attached to the top of the tower and to the ground, 167 yd downhill from the base of the tower. The angle formed by the guy wire is 8*. Find the length of the cable required for the guy wire. 167 yd 78° NOTE: The picture is NOT drawn to scale. length of guy-wire = yd
A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 78°. A guy wire is to be attached to the top of the tower and to the ground, 167 yd downhill from the base of the tower. The angle formed by the guy wire is 8*. Find the length of the cable required for the guy wire. 167 yd 78° NOTE: The picture is NOT drawn to scale. length of guy-wire = yd
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
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Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
![A communications tower is located at the top of a steep hill, as shown. The angle of
inclination of the hill is 78°. A guy wire is to be attached to the top of the tower and to
the ground, 167 yd downhill from the base of the tower. The angle formed by the guy
wire is 8*. Find the length of the cable required for the guy wire.
80
167 yd
78°
NOTE: The picture is NOT drawn to scale.
length of guy-wire =
yd](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F987fdeb2-ff61-48e7-b9d1-28b1acd386ad%2F1a26b2b0-75dc-4cbc-932b-aa064d18a0d3%2Fhc50tp_processed.png&w=3840&q=75)
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 78°. A guy wire is to be attached to the top of the tower and to
the ground, 167 yd downhill from the base of the tower. The angle formed by the guy
wire is 8*. Find the length of the cable required for the guy wire.
80
167 yd
78°
NOTE: The picture is NOT drawn to scale.
length of guy-wire =
yd
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