A woman 5ft tall walks at a rate of 7ft/sec toward a street light that is 12ft above the ground. At what rate is the length of her shadow changing when she is 10ft from the base of the light? At what rate is the area of the triangle formed by her and her shadow changing at this time? At what rate is the angle of inclination changing at this time?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 87E: Which A winch of radius 2 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15...
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A woman 5ft tall walks at a rate of 7ft/sec toward a street light that is 12ft above the ground. At what rate is the length of her shadow changing when she is 10ft from the base of the light? At what rate is the area of the triangle formed by her and her shadow changing at this time? At what rate is the angle of inclination changing at this time?

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