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

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) (Show Source): You can put this solution on YOUR website!
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?
================
d = horizontal distance in yards
h = 30
s = length of string
----
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

RELATED QUESTIONS
a girl flies a kite at a height of 310ft. the wind carries the kite horizontally away... (answered by Alan3354)

Gracie was flying a kite at the park. The length of the kite string is 50 feet and she is (answered by greenestamps,ikleyn)

Sam is flying a kite. She has let out the string to a length of 210m. The string makes... (answered by Alan3354)

a kite is flying at an angle of elevation of about 40 degrees. all 80m of string have... (answered by Love math)

A kite is flying at an angle of elevation of 55 degrees. Ignoring the sag in the string... (answered by mananth)

I am extremely confused about a problem I'm working on. I can't seem to get the right... (answered by nerdybill)

a kite is flying at the end of a string that has a length of 250 meters. the string makes (answered by sachi)

A kite is flying at the end of a 300-foot string. It is 120 feet above the ground. About... (answered by checkley75)

a perosn is flying a kite while holding the string 8ft above the ground at an angle of 73 (answered by ankor@dixie-net.com)