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Kite is ft above the ground.
Kite moves horizontally at a speed of ft/s.
Assume that kite be at the point and string on the ground at the point .
Assume horizontal distance between the kite and ground is .
Length of the string is .
Speed of the kite is ft/s.
Consider .
Find the horizontal distance from kite to the string.
Consider
Substitute in above expression.
Find the relation between the horizontal distance and height:
Consider .
Differentiate on each side with respect to .
Substitute , and in above expression.
Here the negative sign indicates angle is decreasing.
Rate at which angle between the string and the horizontal decreasing is rad/s.
Rate at which angle between the string and the horizontal decreasing is rad/s.
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