A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How...
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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 ftfrom the pole?16/11Xft/sEnhanced FeedbackPlease try again. Draw a diagram for this problem. Draw a right triangle with horizontal and vertical edges. Let the vertical edge be the pole. Draw another vertical line with one end on thehypotenuse and the other end on the horizontal edge depicting the man. Label the distance between the man and the pole x and the distance between the man and the tip of the shadow y. Useproperties of similar triangles to find a relation among x, y, the height of the man, and the height of the pole. Differentiate this equation with respect to time, t, using the Chain Rule, to find theequation for the rate at which the tip of the shadow is moving,"-(x + y). Then, use the values from the exercise to evaluate the rate of change of the distance between the tip of the shadow andthe pole, paying close attention to the signs of the rates of change (positive when increasing, and negative when decreasing).L---------------------------------------------
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