(2 points) N w E Suppose a police officer is 1/2 mile south of an intersection, driving north towards the intersection at 50 mph. At the same time, another car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The officer's radar gun indicates 15 mph when pointed at the other car (that is, the straight-line distance between the officer and the other car is increasing at a rate of 15 mph). What is the speed of the other car? Speed = mph. Now suppose that the officer's radar gun indicates -15 mph instead (that is, the straight-line distance is decreasing at a rate of 15 mph). What is the speed of the other car this time? Speed = mph. (1 point) A street light is at the top of a 15.5 ft. tall pole. A man 5.8 ft tall walks away from the pole with a speed of 4.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 31 feet from the pole? Your answer ft/sec Hint: Draw a picture and use similar triangles. (2 points) N w E Suppose a police officer is 1/2 mile south of an intersection, driving north towards the intersection at 50 mph. At the same time, another car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The officer's radar gun indicates 15 mph when pointed at the other car (that is, the straight-line distance between the officer and the other car is increasing at a rate of 15 mph). What is the speed of the other car? Speed = mph. Now suppose that the officer's radar gun indicates -15 mph instead (that is, the straight-line distance is decreasing at a rate of 15 mph). What is the speed of the other car this time? Speed = mph. (1 point) A street light is at the top of a 15.5 ft. tall pole. A man 5.8 ft tall walks away from the pole with a speed of 4.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 31 feet from the pole? Your answer ft/sec Hint: Draw a picture and use similar triangles