A hotair balloon is rising vertically 17 ftsec while the win

A hot-air balloon is rising vertically 17 ft/sec while the wind is blowing horizontally at 11 ft/sec. Find the speed v of the balloon and the angle theta it makes with the horizontal The balloon\'s speed is ft/sec. and it is rising at an angle of degree to the horizontal. (Round to the nearest whole number as needed.)

Solution

consider x and y axis to be in the direction of ballon

velocity = 11i +17j

magnitude of velocity = 20.248

angle tan(theta) = 17/11

theta = 57.094

 A hot-air balloon is rising vertically 17 ft/sec while the wind is blowing horizontally at 11 ft/sec. Find the speed v of the balloon and the angle theta it ma

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