At point A when the angle of elevation is 31 degrees, the lift cars will travel at 5.0 mph. Each degree of increase of elecation decreases the speed by .2 mph. Point A and point B are 600 feet away from each other (Point B is 600 feet right, closer to the mountain). We may be able to situate the base station at points other than points A and B. What base station location minimizes the time needed to reach the top? Also assume each degree of decrease in the angle of elevation increases the speed by .2 mph. Work please? Thanks!
We need a diagram, or a better setup. Is A at the same elevation as B? Is there some third point on the mountain to which the cars must travel? If so, what is its elevation and distance? (I guess if from A Θ 31?, we need the elevation OR the distance -- we can calculate the other.) If we put the station at B, how do we get to B? And what is the travel time to get to B? Does it matter?
