(a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the length of the wire. (b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground, how high up on each pole should the wire be attached? Round your answer to two decimal places. Select the correct answer. L = 14 a sinh L = 4 2a sinh L = 7asinh L = 2a sinh 7a a b 6a b 1 a 7 26.36 ft -b 23.18 ft 35.21 ft 24.72 ft X b

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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(a) The figure shows a telephone wire hanging between two poles at x = -b and x =
b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the
length of the wire.
(b) Suppose two telephone poles are 50 ft apart and the length of the wire between
the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground,
how high up on each pole should the wire be attached? Round your answer to two
decimal places.
Select the correct answer.
L = 14 a sinh
L = 4 2a sinh
L = 7asinh
L = 2a sinh
7a
a
b
6a
b
1
a
7
26.36 ft
-b
23.18 ft
35.21 ft
24.72 ft
X
b
Transcribed Image Text:(a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the shape of a catenary with equation y = c + 7a cosh (x/7a). Find the length of the wire. (b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 22 ft above the ground, how high up on each pole should the wire be attached? Round your answer to two decimal places. Select the correct answer. L = 14 a sinh L = 4 2a sinh L = 7asinh L = 2a sinh 7a a b 6a b 1 a 7 26.36 ft -b 23.18 ft 35.21 ft 24.72 ft X b
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