A woman walks along a straight path at a speed of 5 ft/s. A searchlight is located on the ground 24 ft from the path and is kept focused on her. At what rate is the searchlight rotating when the woman is 16 ft from the point on the path closest to the searchlight?

A boat is sailing at a rate of 10 feet per second away from an observer 5 feet above the boat. How fast is the angle from the observer to the boat changing when the boat is a horizontal distance of 30 feet away from the observer?

A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole? ft sec

a television camera is positioned o the ground 4000 feet from the base of a rocket launching pad. If the rocket is launched vertically at 600ft/s at what rate is the angle of elevation from the tv camera increasing when the rocket is at 3000ft above the ground