balloon is 10 ft up
... bird's flight path is 30 ft above balloon
straight line distance bird-balloon is 50 ft
30-40-50 right triangle
... 30^2 + 40^2 = 50^2
... a^2 + b^2 = c^2
2 a da/dt + 2 b db/dt = 2 c dc/dt
(30 * 10) + (40 * 20) = (50 * dc/dt)
A balloon rises vertically at a rate of 8 feet/sec. A bird flies 40 feet above ground toward the balloon’s path at 20 feet per second. At what rate is the distance between the bird and the balloon changing when the bird is 50 feet from the balloon (straight line distance) and the balloon is 10 feet above ground?
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