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avr10
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Homework Statement
You are 150 feet away from a road. Looking down the road, you notice a car heading in your direction such that the angle formed by your line of vision to the car and the road is 45 degrees, and this angle is increasing at a rate of 10 degrees per second. How fast is the car traveling?
Homework Equations
The Attempt at a Solution
So I drew the diagram such that I'm standing on the positive side of the x-axis, and such that the car is heading down the y-axis (the road) toward the origin. I'm given [tex] \frac {d\theta}{dt} = 10 [/tex], and I want to find [tex] \frac {dy}{dt} [/tex].
What I did was set [tex] \theta = \arctan { \frac {150}{150-\frac{dy}{dt}*t}} [/tex] then tried to take the derivative of that...but the [tex]\frac {dy}{dt}[/tex] term is leaving me confused as to how to derive such a thing. Ideas?
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