I am not exactly sure how to start. If someone can please help me with one of these word problems I would be extremely grateful.
An airplane is flying at an altitude of 3 miles at a rate of 400 miles per hour. Find the rate of change of angle a at the moment that the observer is standing at a horizontal distance of 4 miles from the plane,
A ladder 15 ft long is leaning against the wall of a house. The base of the ladder is pulled away from the house at a rate of 2 ft per second. Consider the triangle created by the ground the wall and the ladder. How fast is the area changing when the ladder’s top is 12 ft up and falling at a rate of 1/2 ft/sec?