Sag angle Imagine a climber clipping onto the rope described in Example 7 and pulling himself to the rope's midpoint. Because the rope is supporting the weight of the climber, it no longer takes the shape of the catenary y = 200 cosh m Instead, the rope 200 (nearly) forms two sides of an isosceles triangle. Compute the sag angle 0 illustrated in the figure, assuming the rope does not stretch when weighted. Recall from Example 7 that the length of the rope is 101 ft. y, Sag angle 0 100 -50 50

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 53E
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Sag angle Imagine a climber clipping onto the rope described
in Example 7 and pulling himself to the rope's midpoint. Because
the rope is supporting the weight of the climber, it no longer takes
the shape of the catenary y = 200 cosh m Instead, the rope
200
(nearly) forms two sides of an isosceles triangle. Compute the sag
angle 0 illustrated in the figure, assuming the rope does not stretch
when weighted. Recall from Example 7 that the length of the rope
is 101 ft.
y,
Sag angle 0
100
-50
50
Transcribed Image Text:Sag angle Imagine a climber clipping onto the rope described in Example 7 and pulling himself to the rope's midpoint. Because the rope is supporting the weight of the climber, it no longer takes the shape of the catenary y = 200 cosh m Instead, the rope 200 (nearly) forms two sides of an isosceles triangle. Compute the sag angle 0 illustrated in the figure, assuming the rope does not stretch when weighted. Recall from Example 7 that the length of the rope is 101 ft. y, Sag angle 0 100 -50 50
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