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cmajor47
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Homework Statement
A rocket is launched vertically and is tracked by a radar station located on the ground 5 mi from the launch pad. Suppose that the elevation angle θ of the line of sight to the rocket is increasing at 3° per second when θ=60°. What is the velocity of the rocket at this instant?
Homework Equations
c2=x2+y2
tanθ=y/x
The Attempt at a Solution
52=c2-y2
25=c2-y2
0=2c(dc/dt)-2y(dy/dt)
0=c(dc/dt) - y(dy/dt)
dc/dt=3°=π/60
θ=60°=π/3
tan π/3=y/5
5tan π/3=y
y=3
c2=52+32
c2=square root of 34
Can I just plug in 3 for y, square root of 34 for c, and π/60 for dc/dt