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32. A kite 100 ft 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?

32. A kite 100 ft 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?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3.9-Number 32, please
18H IS SHOWN In the figure. If the pool is being filled at a rate of 0.8 ft/min, how fast is the water level rising when the depth at the deepest point is 5 ft? Answer 6 12 16 Answer 3 31. The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area of the triangle increasing when the sides are 30 cm long? 6 32. A kite 100 ft 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? 33. A car is traveling north on a straight road at 20 m/s and a drone is flying east at 6m/s at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later? 34. If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out area as a function of r.
Transcribed Image Text:18H IS SHOWN In the figure. If the pool is being filled at a rate of 0.8 ft/min, how fast is the water level rising when the depth at the deepest point is 5 ft? Answer 6 12 16 Answer 3 31. The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area of the triangle increasing when the sides are 30 cm long? 6 32. A kite 100 ft 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? 33. A car is traveling north on a straight road at 20 m/s and a drone is flying east at 6m/s at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later? 34. If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out area as a function of r.
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