A large weather balloon is tethered by two ropes. One rope measures 22ft and attaches to the balloon at an angle of 33° from the ground. The second rope attaches to the base of the balloon at an angle of 17° with the ground. How far from the ground is the balloon floating? Round intermediate values to four decimal places, then round the final answer to the nearest tenth of a foot. The balloon is floating approximately  ft  from the ground.

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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A large weather balloon is tethered by two ropes. One rope measures 22ft and attaches to the balloon at an angle of 33° from the ground. The second rope attaches to the base of the balloon at an angle of 17° with the ground.

How far from the ground is the balloon floating? Round intermediate values to four decimal places, then round the final answer to the nearest tenth of a foot.

The balloon is floating approximately  ft  from the ground.
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