A ladder 13ft long leans against a vertical wall. If the top slides down at 3ft/s, how fast is the angle of elevation of the ladder decreasing when the lower end is 9ft from the wall

A ladder 39 ft long leans against a vertical wall. If the lower end is being moved away from the wall at the rate of 5 ft/sec, how fast is the height of the top changing (this will be a negative rate) when the lower end is 15 feet from the wall? 39 ft 39 f when the lower end is 15 feet from the wall The height of the top is changing at a rate of (Simplify your answer.)

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.5 ft/s. how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall? rad/s