# why do diving birds dive straight down to catch fish

questioned by administrator @ in Mathematics viewed by 155 People

A perfectly straight 24 ft tall tree grows on the edge of the bank of a 45 foot wide river. A bird sitting at the top of the tree sees a fish in the middle of the river. At the same time as the fish begins to dive straight down, the bird flies in a straight line towards where it knows it will catch the fish. If the fish dives at a constant speed of 3 feet per second and the bird catches it in 2 seconds, how far from the top of the tree is the point where the bird meets the surface of the river