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

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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) About Me  (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.
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Convert 25 miles per hour to feet per second

    25 miles per hour = %285280%2A25%29%2F3600 = 110%2F3  feet per second


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


    d = sqrt%28125%5E2+%2B+%28110%2F3%29%5E2%2At%5E2%29 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 (!)