<PRE><B>Question 1209076</B>
.
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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&lt;pre&gt;
Convert 25 miles per hour to feet per second

    25 miles per hour = {{{(5280*25)/3600}}} = {{{110/3}}}  feet per second


Apply the Pythagorean formula and get the desired expression for the distance


    d = {{{sqrt(125^2 + (110/3)^2*t^2)}}} feet.
&lt;/pre&gt;

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 (!)



    </PRE>