Two hallways, one of width 4 feet, the other of width 5 feet, meet at a right angle. See the illustration to the right. It can be shown that the length L of the ladder as a function of 0 is L(0) = 5 csc 0 + 4 sec 0. Complete parts (a) through (d) below. (a) In calculus, the length of the longest ladder that can turn the corner found by solving the equation 4 sec 0 tan 0-5 csce cot e =0 for 0 where 0° <0<90°. Solve this equation for 0. (Type an integer or decimal rounded to the nearest hundredth as needed.) (b) What is the length of the longest ladder that can be carried around the corner? L= feet (Type an integer or decimal rounded to the nearest hundredth as needed.) (c) Graph L=L(0), 0° <0< 90°. Choose the correct answer below. OA. O B. Oc. OD AL AL 10- AL 20- 18 AL 10- 4. 8- 8- 16- 6- 6- 14 4- 4- 30 60 90 60 Find the angle that minimizes the length L. (Type an integer or decimal rounded to the nearest hundredth as needed.)

Two hallways, one of width 4 feet, the other of width 5 feet, meet at a right angle. See the illustration to the right. It can be shown that the length L of the ladder as a function of 0 is L(0) = 5 csc 0 + 4 sec 0. Complete parts (a) through (d) below. (a) In calculus, the length of the longest ladder that can turn the corner found by solving the equation 4 sec 0 tan 0-5 csce cot e =0 for 0 where 0° <0<90°. Solve this equation for 0. (Type an integer or decimal rounded to the nearest hundredth as needed.) (b) What is the length of the longest ladder that can be carried around the corner? L= feet (Type an integer or decimal rounded to the nearest hundredth as needed.) (c) Graph L=L(0), 0° <0< 90°. Choose the correct answer below. OA. O B. Oc. OD AL AL 10- AL 20- 18 AL 10- 4. 8- 8- 16- 6- 6- 14 4- 4- 30 60 90 60 Find the angle that minimizes the length L. (Type an integer or decimal rounded to the nearest hundredth as needed.)

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter9: Roots And Radicals

Section9.4: Multiply Square Roots

Problem 311E: An artist wants to make a small monument in the shape of a square base topped by a right triangle,...

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