A 10 ft ladder is leaning against a wall when its base start

A 10 ft ladder is leaning against a wall when its base starts to slide away. At the moment the angle between the base of the ladder and the ground is pi/4 radians, the angle is decreasing at a rate of pi/3 rad/s. At this moment, how fast is the top of the ladder moving down the wall?

Solution

\\(x = lsin \\theta\\) \\(v = l\\cos\\theta \\omega = 7.4m/s\\)