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A weather balloon is tethered by 2 ropes, on opposite sides of the balloon. One rope measures 40 ft and attaches to the base of

A weather balloon is tethered by 2 ropes, on opposite sides of the balloon. One rope measures 40 ft and attaches to the base of the balloon at an angle of 30 with the ground. The second rope attaches to the base of the balloon at an angle of 45 with the ground. How far from the ground is the balloon floating? What is the length of the second rope? If both ropes suddenly detach and the balloon rises straight up at a rate of 5 ft/sec, how long will it take the balloon to reach a height of 100 ft from the ground?

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