Suppo a person begins walking away from a light pole at a constant rate of 0.4 meters per second. The person knows that as they walk away from the pole that the length of their shadow increases. The person is wondering of the length of their studow is also changing at a constant rate Assume that Os mesured In deres. The light pole is still 3A7 meterstall, and the person is still 1.98 meterstall. hl 2. Which of the quantities in the problem are varying? d b. Write an expression for the distance of the person from the light pole misured in meters, in terms of the number of seconds (t) since they bestan walking Preview syntax error c. Using what you know about similar triangles, write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds since they began walking Preview d. Find the average rate of change of the length of the person's shadow, in meters, with respect to time over each given interval 1. The first 8 seconds since the person began walking, Preview d. Find the average rate of change of the length of the person's shadow, in meters, with respect to time over each given interval. L. The first 8 seconds since the person began walking Preview II. From 8 seconds to 16 seconds since the person began walking. Preview Hl. From 16 second to 24 seconds since the person began walking Preview e. Choose all of the following statements which are true based on the above results The rate of change of the length of the shadow with respect to time is decreasing. The rate of change of the length of the shadow with respect to time is constant The rate of change of the length of the shadow with respect to time is increasing