A large weather balloon is tethered by two ropes. One rope measures 22 ft and attaches to the balloon at an angle of 34° from the ground. The second rope attaches to the base of the balloon at an angle of 17° with the ground. 22 ft 34° 17° B

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.CT: Chapter Test
Problem 21CT: Two wires tether a balloon to the ground, as shown. How high is the balloon above the ground?
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(a)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.

(b)Find the length of the second rope. Round intermediate values to four decimal places, then round the final answer to the nearest tenth of a foot.
 
(c)If both ropes suddenly detach and the balloon rises straight up at a rate of 3 ft/sec, how long will it take the balloon to reach a height of 50ft from the ground? Round to the nearest tenth of a second.
A large weather balloon is tethered by two ropes. One rope measures 22 ft and attaches to the balloon at an angle of 34° from the ground. The second rope
attaches to the base of the balloon at an angle of 17° with the ground.
22 ft
34°
17°
B
Transcribed Image Text:A large weather balloon is tethered by two ropes. One rope measures 22 ft and attaches to the balloon at an angle of 34° from the ground. The second rope attaches to the base of the balloon at an angle of 17° with the ground. 22 ft 34° 17° B
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