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A balloon is released 12 feet away from an observer. The balloon is rising vertically at a rate of 2 ft/sec and at the same time the wind is carrying it horizontally away from the observer at a rate of 4 ft/sec.

A balloon is released 12 feet away from an observer. The balloon is
rising vertically at a rate of 2 ft/sec and at the same time the wind is carrying it horizontally away from the observer at a rate of 4 ft/sec. At what speed is the angle of inclination of the observer’s line of sight changing 4 seconds after the balloon is released?
1. speed = 7/212 rads/sec
2. speed = 9/212 rads/sec
3. speed = 3/106 rads/sec
4. speed = 2/53 rads/sec
5. speed = 5/212 rads/sec
 
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