SOLUTION: A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find the expression for the distanc

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Question 504199: A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find the expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find the expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
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Draw the picture.
The distance is the hypotenuse of a right triangle.
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height = 100 ft
path of the balloon has speed 15*5280 ft/hr = 79000 ft/hr = 1320 ft/sec
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dist = sqrt[100^2 + 1320^2*t]
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Cheers,
Stan H.