A kite 100 ft above the ground moves horizontally at a speed of 11 ft/s. At what rate (in rad/s) is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?
X rad/s
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Please try again. Let o be the angle between the string and the ground and x denote the horizontal distance of the kite. Then x is one leg of a right triangle with hypotenuse formed by
the string: the other leg is facing the angle 8 and has length equal to the height of the kite. You need to use a trigonometric function to relate and x and then differentiate the relation
de
with respect to t. Finally, solve for and find its value using the given values. Note that negative rate means the quantity is decreasing