A snowboarder rode a ski lift five miles directly to the summit of a mountain. The angle of elevation from the base of the ski lift to the peak is 31o. There is a second lift that has a base on the opposite side of the mountain but that climbs to the same point on the summit. If the length from the bottom of one ski lift to the other ski lift (straight through the mountain) is 21 miles, how long is the second ski lift? Round answer to two decimal places and include units.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 18E: A hot-air balloon is held in place by the ground crew at a point that is 21 ft from a point directly...
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A snowboarder rode a ski lift five miles directly to the summit of a mountain. The angle of elevation from the base of the ski lift to the peak is 31o. There is a second lift that has a base on the opposite side
of the mountain but that climbs to the same point on the summit. If the length from the bottom of one ski lift to the other ski lift (straight through the mountain) is 21 miles, how long is the second ski lift? Round
answer to two decimal places and include units.

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