A fish is reeled in at a rate of 3.4 feet per second from a point 10 feet above the water. At what rate is the angle between the line and the water changing when there is a total of 25 feet of line out?

Answer 1

When the line length is x,
sinθ = 10/x
cosθ dθ/dt = -10/x^2 dx/dt
so plug in your numbers when x=25