Mathematics, 17.10.2021 22:10 choudharykaran7997
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
Answers: 3
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A kite 100 ft above the ground moves horizontally at a speed of 11 ft/s. At what rate (in rad/s) is...
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