I'm not sure why I'm not getting the same answer.This is the question.
A spotlight is located 500 feet from a straight road. A truck is driving down the road at the rate of 100 ft/sec (68.2 mi/hour). The spotlight is rotating to remain focused on the truck. How fast is the spotlight rotating to remain focused on the truck when the truck is 1300 feet way from the spotlight?
Ok so the answer is 0.0296 rad/s
I used 500 tan θ = y ..and then differentiate it with respect to t
However,if I use 1300 sin θ = y ...and then differentiate it with respect to t,I'm getting different answer.
Can anyone tell me why?