SOLUTION: A girl is flying a kite in strong winds. She releases the string at a rate of 1 yard per minute (assume the string is straight). The kite remains 30 yards above the ground moving h

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Question 1112529: A girl is flying a kite in strong winds. She releases the string at a rate of 1 yard per minute (assume the string is straight). The kite remains 30 yards above the ground moving horizontally to the ground.
A) How fast is the kite moving horizontally away from the girl when there is 50 yards of string out?
Answer by Alan3354(69443) About Me  (Show Source):
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A girl is flying a kite in strong winds. She releases the string at a rate of 1 yard per minute (assume the string is straight). The kite remains 30 yards above the ground moving horizontally to the ground.
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A) How fast is the kite moving horizontally away from the girl when there is 50 yards of string out?
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d = horizontal distance in yards
h = 30
s = length of string
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s^2 = d^2 + 30^2
2s*ds/dt = 2d*dd/dt
50*1 = d*dd/dt
d = 40 yards (3-4-5 triangle)
50 = 40*dd/dt
dd/dt = 1.25 yd/minute