(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

c^{2}=x^{2}+y^{2}

tanθ=y/x

3. The attempt at a solution

5^{2}=c^{2}-y^{2}

25=c^{2}-y^{2}

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

c^{2}=5^{2}+3^{2}

c^{2}=square root of 34

Can I just plug in 3 for y, square root of 34 for c, and π/60 for dc/dt

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# Homework Help: Related Rates Problem

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