Tarzan Related Rates Problem: Flaherty Lahlou Weiland
Tarzan is looking in the forest for food for Jane and himself when he decides to stop at the bottom of a tree to look for bananas. Suddenly, he hears a leopard 60 ft away running towards the tree at 5.5 ft/sec.Afraid and not wanting to lose his bananas,Tarzan climbs up the 20 ft tall tree trunk to wait for the leopard to pass him by. If Tarzan is climbing at a rate of 1.2 ft/sec,
a) How quickly is the distance between Tarzan and the leopard decreasing after 5 seconds?
b) Tarzan safely escapes the leopard and continues to climb up the tree at his constant rate.Terk, Tarzan's gorilla friend, messes with him by throwing a banana, which takes
a diagonal path toward the ground, 16.5 ft from the base of the tree. If the banana is moving at a rate of 3 ft/sec, what will the rate of change be between the banana
and Tarzan as it hits the ground below?