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28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at an angle of 32° from the ground. The second rope attaches to the base of the balloon at an angle of 15° with the ground. a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot. b. Find the length of the second rope. Round 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 50 ft from the ground? Round to the nearest tenth of a second. 23 ft 32

28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at an angle of 32° from the ground. The second rope attaches to the base of the balloon at an angle of 15° with the ground. a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot. b. Find the length of the second rope. Round 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 50 ft from the ground? Round to the nearest tenth of a second. 23 ft 32

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 9A: Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch...
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28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at an angle of 32° from the ground. The second rope attaches to the base of the balloon at an angle of 15° with the ground. a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot. b. Find the length of the second rope. Round 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 50 ft from the ground? Round to the nearest tenth of a second. 23 ft 32
Transcribed Image Text:28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at an angle of 32° from the ground. The second rope attaches to the base of the balloon at an angle of 15° with the ground. a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot. b. Find the length of the second rope. Round 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 50 ft from the ground? Round to the nearest tenth of a second. 23 ft 32
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