A patrol car is parked 30 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 30 revolutions per minute. How fast is the light beam moving along the wall when the beam makes angles of θ = 45°, θ = 60°, and θ = 80° with the line perpendicular from the light to the wall? (Round your answers to two decimal places.)
Things I know:
1) tan(θ) = x/30 OR 1/30(x)
2) d(θ)/dt = 60pi
3) I need dx/dt
I also know there's something to do with sec^2(θ) and/or cos((45/60/80))^2
I just wanna learn this for myself, it's not for a class. It's super frustrating. Please help...
Thanks!
Things I know:
1) tan(θ) = x/30 OR 1/30(x)
2) d(θ)/dt = 60pi
3) I need dx/dt
I also know there's something to do with sec^2(θ) and/or cos((45/60/80))^2
I just wanna learn this for myself, it's not for a class. It's super frustrating. Please help...
Thanks!