calculus quiz

1) A piece of land is shaped like a right triangle. Two people start walking at the right angle of the triangle at the same time. Walker A walks north of the right triangle at a speed of 7 m/s and has moved 3 meters. While walker B heads east of the right triangle and has moved 2 meters. If the area formed by the positions of the two people and their starting point (the right angle) is changing at 5 𝑚𝑚2/𝑠𝑠, then how fast is walker B moving? 2) Two hurricanes are flying at an altitude of 30,000 ft. along a straight-line course that intersect at right angles. Hurricane Eta is approaching the intersection point at a speed of 400 mph. Hurricane Iota is approaching the intersection at 500 mph. At what rate is the distance between the hurricanes changing when Eta is 100 miles from the intersection point and Iota is 200 miles from the intersection point?