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Carrying a Ladder Around a Corner Two hallways, one f width 3 feet, the other of width 4 feet, meet at a right ngle. See the illustration.

Carrying a Ladder Around a Corner Two hallways, one f width 3 feet, the other of width 4 feet, meet at a right ngle. See the illustration.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Answer letters c, d, and e please

66. Carrying a Ladder Around a Corner Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration. (a) Express the length L of the line segment shown as a function of 0. A (b) In calculus, you will be asked to find the length of the longest ladder that can turn the corner by solv- ing the equation 3 sec 0 tan e 4 csc 0 cot @ 0. 0<e<90 Solve this equation for 6. (c) What is the length of the longest ladder that can be carried around the corner? (d) Graph L, 0 ses 90", and find the angle e that minimizes the length L. (e) Compare the result with the one found in part (b). Explain why the two answers are the samc.
Transcribed Image Text:66. Carrying a Ladder Around a Corner Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration. (a) Express the length L of the line segment shown as a function of 0. A (b) In calculus, you will be asked to find the length of the longest ladder that can turn the corner by solv- ing the equation 3 sec 0 tan e 4 csc 0 cot @ 0. 0<e<90 Solve this equation for 6. (c) What is the length of the longest ladder that can be carried around the corner? (d) Graph L, 0 ses 90", and find the angle e that minimizes the length L. (e) Compare the result with the one found in part (b). Explain why the two answers are the samc.
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