Suppose at one time instance the robot has translated the amount of with an init

Question

Suppose at one time instance the robot has translated the amount of with an initial orientation and a range sensor reading of distance. Compute the position of the obstacle that is detected by the sensor. Notice that the sensor is installed on the robot facing to its left. Suppose at one time instance the robot has translated the amount of with an initial orientation of and a range sensor reading of distance. Compute the position of the obstacle that is detected by the sensor. Notice that the sensor is installed on the robot facing to its right.

Explanation / Answer

Hi, This is a poorly formed question. Say its a lidar facing left. It can detect how far away the obstacle is. It will translate straight and at the point of nearest approach, it will calculate the translated distance and the distance to left. From both we can tell angle and distance by trignometry and pythogorous theorem from original point.

Similarly for the right.

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