A man walks along a straight path at a speed of 6 ft/s. A searchlight is located on the ground 24 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 10 ft from the point on the path closest to the searchlight? Solution We draw the figure below and let x be the distance from the man to the point on the path closest to the searchlight. We let 0 be the angle between the beam of the searchlight and the perpendicular to the path. 24

A man walks along a straight path at a speed of 6 ft/s. A searchlight is located on the ground 24 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 10 ft from the point on the path closest to the searchlight? Solution We draw the figure below and let x be the distance from the man to the point on the path closest to the searchlight. We let 0 be the angle between the beam of the searchlight and the perpendicular to the path. 24

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.5: Velocities

Problem 62PS: A two-stage gear train consists of four gears meshed together (Figure 10). The second and third...

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