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## Homework Statement

A kite 100ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string has been let out? Answer: 0.02 rad/s

## Homework Equations

## The Attempt at a Solution

costheta = x/200

taking the derivative and rearranging

theta prime= x'/-200sintheta

substituting x' = 8 and theta = pi/6

theta prime = -0.08 rad/s

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