Related Rates Word Problem

A highway patrol helicopter hovers 3/10 mile above a level, straight interstate highway which has a posted speed limit of 65 miles per hour. The helicopter pilot sees a car on the highway and determines with radar that at that particular instant, the distance between the helicopter and the car is 1/2 mile and is increasing at a rate of 64 miles per hour. Should the driver of the car be ticketed for speeding? Set up and solve a related rates problem to justify answer. Hint: Find the car's speed along the highway.

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... we have a right triangle and can apply the Pythagorean theorem.

In the problem, .3^2 + x^2 = y^2

Plug in y =.5mi and solve for x:
x = sqrt(.5^2 - .3^2) --> x = .4mi

Now, that we ...