SOLUTION: A hot-air balloon, headed due east at an average speed of 25 miles per hour and at a constant altitude of 125 feet, passes over an intersection. Find the expression for the distanc

Question 1209076: A hot-air balloon, headed due east at an average speed of 25 miles per hour and at a constant altitude of 125 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 ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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A hot-air balloon, headed due east at an average speed of 25 miles per hour and at a constant altitude of 125 feet,
passes over an intersection. Find the expression for the distance d (measured in feet) from the balloon
to the intersection t seconds later.
~~~~~~~~~~~~~~~~~~

Convert 25 miles per hour to feet per second

    25 miles per hour =  =   feet per second


Apply the Pythagorean formula and get the desired expression for the distance


    d =  feet.

Solved, with complete explanations.

Notice that the direction, in which the balloon moves along a straight line - does not matter.

It can be East, West, North or South - the formula for the distance from the intersection remains the same.

Enjoy (!)

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