Imagine that you are a Central Intelligence agent and you are monitoring a perso
ID: 3010807 • Letter: I
Question
Imagine that you are a Central Intelligence agent and you are monitoring a person of interest (POI) using a highly advanced camera. This technology allows you to see different angle views of the person being watched and it sends a signal to you each time the person changes their position. Assume the (hypotenuse) distance between the camera and the POI is constant. Please choose two of the problems below to complete and compare your results. The camera is positioned in a window on the top floor of a building that is 30 feet tall and it can move down to keep an optimal view of the POI. Initially, the camera is at an angle such that the rate of change of the height of the camera is -4 feet per second. Use related rates to determine the rate at which the POI is moving away from the camera. The camera is positioned in a window on the top floor of a building that is 16 feet tall and it can move down to keep an optimal view of the POI. Initially, the camera is at an angle such that the rate of change of the height of the camera is -2 feet per second. Use related rates to determine the rate at which the POI is moving away from the camera. The camera is positioned in a window on the top floor of a building that is 21 feet tall and it can move down to keep an optimal view of the POI. Initially, the camera is at an angle such that the rate of change of the height of the camera is -2 feet per second. Use related rates to determine the rate at which the POI is moving away from the camera. The camera is positioned in a window on the top floor of a building that is 40 feet tall and it can move down to keep an optimal view of the POI. Initially, the camera is at an angle such that the rate of change of the height of the camera is -4 feet per second. Use related rates to determine the rate at which the POI is moving away from the camera. Create a picture with the appropriate labeling. What is the initial angle measure of the camera in degrees? How long will it take the camera technology to reach the ground level? Find the rate of change of the person's movement away from the camera. What do you think is the optimal position of the camera for the most effective monitoring of the POI? Include any other thoughts about how this type of security is helpful or how it can be enhanced or complemented by other technologies.Explanation / Answer
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