A security camera is centered 52 feet above a 100-foot hallway (see figure). It is easlest to design the camera with a constant angular rate of rotation, but this results in a varlable rate at which the Images of the survellance area are recorded. So, It is desirable to design a system with a varlable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if|dx/dt| = 4feet per second. de dt

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