4. [0/033 Points] PREVIOUS ANSWERS SCALCETB 3.9.015. ASK YOUR TEACHER PRACTICE ANOTHER A street light is mounted at the top of a 15ft-ta|l 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 50 ft from the pole? 8/3 x ft/s nhanced Feedback ease 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 the ypotenuse 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 Use properties 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 ERuIe, to find the equation 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 Ethe tip of the shadow and the pole, paying close attention to the signs of the rates of change (positive when increasing, and negative when decreasing). Need Help? 8. [D/O.83 Points] DETAILS PREVIOUS ANSWERS SCALCET8 3.9.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The minute hand on a watch is 5 mm long and the hour hand is 3 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.) 11. [0/0.83 Points] DETAILS PREVIOUS ANSWERS SCALCET8 3.10.520.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a linear approximation (or differentials) to estimate the given number. (Use the linearization of l/x. Do not round your answer.) L 103 [16.016 ]x 12. [010.87 Points] DETAILS PREVIOUS ANSWERS SCALCET8 3.10.519.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a linear approximation (or differentials) to estimate the given number. (Do not round your answer). (32.04)\"5 -x Need Help