1. A plane ying at an altitude of 1 mile and a speed of 500 miles per hour passes directly over a radar station on the ground. Find the rate at which the distance from the plane to the station is increasing 6 minutes later. (Assume that the plane's speed and altitude remain constant.) (a) Draw a snapshot picture showing what is happening at the instant we care about. (You can think of the radar station as a point.) Label any distances you know. (b) Draw another picture (the generic picture) showing the situation at an arbitrary time t. On this picture, give variable names to quantities that are changing over time, and label any values that are constant. (c) State your goal, together with what you are told in the problem. (For instance, \"Goal: Find 'fi'g. Known: % = 2.\") If you use variables other than those you already labeled in (b), label them. In general, when you reach this step, it's important to think carefully about what the signs (positive or negative} of the rates you know are. ((1) Write an equation relating the relevant variables\") (e) Solve! (You'll rst need to use implicit differentiation or the Chain Rule to take the derivative of something you wrote in (d).)