Landmark trilateration employing reference beacons is used to locate the (x, y) coordinates of a robot.                                          The location of landmark number 1 (P1) is at the origin and the location of landmark number 2 (P2) is on the x axis at a positive distance x2 away from the first landmark (that is, P1 coordinates are (0, 0), and P2 coordinates are (x2, 0).     The robot is at location (xR, yR), which will be determined based on the information provided below.       Find the robot location (xR, yR) given the following:            x2 = 25.3 m (where x2 represents the distance between the landmarks)      d1 = 53.7 m (where d1 is the distance between the robot and landmark number 1)      d2 = 48.2 m (where d2 is the distance between the robot and landmark number 2)   Be sure to find the xR coordinate of the robot location and find both possible values of the yR coordinate of the robot locatio

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.27P
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Landmark trilateration employing reference beacons is used to locate the (x, y) coordinates of a robot.                                     

    The location of landmark number 1 (P1) is at the origin and the location of landmark number 2 (P2) is on the x axis at a positive distance x2 away from the first landmark (that is, P1 coordinates are (0, 0), and P2 coordinates are (x2, 0).

    The robot is at location (xR, yR), which will be determined based on the information provided below.

 

    Find the robot location (xR, yR) given the following:

     

     x2 = 25.3 m (where x2 represents the distance between the landmarks)

 

   d1 = 53.7 m (where d1 is the distance between the robot and landmark number 1)

 

   d2 = 48.2 m (where d2 is the distance between the robot and landmark number 2)

 

Be sure to find the xR coordinate of the robot location and find both possible values of the yR

coordinate of the robot location

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