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.© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/related-rates-word-problem-2lf
... 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 ...