11. At a ski resort, skiers must take two lifts to reach the peak of the mountain. They travel 1200 m at an inclination of 52° to get a transfer point. They then travel 1600 m at an inclination of 58°. The ski resort plans on putting in one lift that will take the place of the two existing lifts. Determine the length of the new lift if it starts at the base of the mountain where the first lift started and stops at the peak of the mountain where the second lift stopped.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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11. At a ski resort, skiers must take two lifts to reach the peak of the mountain. They
travel 1200 m at an inclination of 52° to get a transfer point. They then travel
1600 m at an inclination of 58°. The ski resort plans on putting in one lift that will
take the place of the two existing lifts. Determine the length of the new lift if it
starts at the base of the mountain where the first lift started and stops at the peak
of the mountain where the second lift stopped.
Transcribed Image Text:11. At a ski resort, skiers must take two lifts to reach the peak of the mountain. They travel 1200 m at an inclination of 52° to get a transfer point. They then travel 1600 m at an inclination of 58°. The ski resort plans on putting in one lift that will take the place of the two existing lifts. Determine the length of the new lift if it starts at the base of the mountain where the first lift started and stops at the peak of the mountain where the second lift stopped.
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