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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
Question

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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