A) the altitude (i. e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 4.5 square cm/minute. at what rate is the base of the triangle changing when the altitude is 7.5 centimeters and the area is 86 square centimeters? the base is changing at cm/min. b) a boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. if the rope is pulled in at a rate of 1.2 m/s, how fast is the boat approaching the dock when it is 10 m from the dock? rate= m/sc) at noon, ship a is 20 nautical miles due west of ship b. ship a is sailing west at 22 knots and ship b is sailing north at 16 knots. how fast (in knots) is the distance between the ships changing at 4 pm? the distance is changing at knots. (note: 1 knot is a speed of 1 nautical mile per hour.)