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Consider the following. -h 0₁ bx (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 the equation y = c + a cosh(x/a). Find the length of the wire. (b) Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 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.) ft

Consider the following. -h 0₁ bx (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 the equation y = c + a cosh(x/a). Find the length of the wire. (b) Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 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.) ft

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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Consider the following. -b 0 b x I (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 the equation y = c + a cosh(x/a). Find the length of the wire. (b) Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 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.) ft
Transcribed Image Text:Consider the following. -b 0 b x I (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 the equation y = c + a cosh(x/a). Find the length of the wire. (b) Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 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.) ft
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