Angle Finder
related rates problem for calc?
A hot-air balloon is rising straight up from a level field and is tracked by a range finder 500 ft from lift-off point. the balloon rises at a rate of...
Angle Finder

related rates problem for calc?
A hot-air balloon is rising straight up from a level field and is tracked by a range finder 500 ft from lift-off point. the balloon rises at a rate of 15 feet per second.
A) How fast is the direct distance between the range finder and the ballon changing at 5 seconds
B) how fast is the angle of elevation changing when the ballon is 500 feet high
he gave us a diagram of a right trianle with the hypotenus labeled d and the side labled h and the bottom equalling 500
Hints:
A) Use d^2=500^2 + h^2
then take the derivative of both sides where dh/dt = 15 ft/sec.
B) tanA=h/500
take deriv of both sides
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Posted in Calipers & Inspection Guages
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