Problem 3: Map Building using Sonar Sensor Suppose at one time instance the robot has translated the amount of d with an initial orientation of 0 and a sensor reading of s. Compute the position of the obstacle that is corresponding to this sensor reading. The installation of the sensor should be clear from the plot. 10 8 6 4 2- O -2- P₁₁ = [-6,-4] 4 0 = 60° d = 15 y P2 P3 S=7 X -6 -10 -8 -6 -4 -2 0 2 4 6 8 10 10 10 8 6- 4 2- 0 -2- -4 -6 -10 -8 P2 y 8 = p P₁ = [2,4] 0 = -160° S = 5 -6 3 X 4 -2 0 2 4 6 8 10 10

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Problem 3: Map Building using Sonar Sensor
Suppose at one time instance the robot has translated the amount of d with an initial orientation of 0 and
a sensor reading of s. Compute the position of the obstacle that is corresponding to this sensor reading.
The installation of the sensor should be clear from the plot.
10
8
6
4
2-
O
-2-
P₁₁ = [-6,-4]
4
0 = 60°
d = 15
y
P2
P3
S=7
X
-6
-10
-8
-6
-4
-2
0
2
4
6
8
10
10
10
8
6-
4
2-
0
-2-
-4
-6
-10
-8
P2
y
8 = p
P₁ = [2,4]
0 = -160°
S = 5
-6
3
X
4
-2
0
2
4
6
8 10
10
Transcribed Image Text:Problem 3: Map Building using Sonar Sensor Suppose at one time instance the robot has translated the amount of d with an initial orientation of 0 and a sensor reading of s. Compute the position of the obstacle that is corresponding to this sensor reading. The installation of the sensor should be clear from the plot. 10 8 6 4 2- O -2- P₁₁ = [-6,-4] 4 0 = 60° d = 15 y P2 P3 S=7 X -6 -10 -8 -6 -4 -2 0 2 4 6 8 10 10 10 8 6- 4 2- 0 -2- -4 -6 -10 -8 P2 y 8 = p P₁ = [2,4] 0 = -160° S = 5 -6 3 X 4 -2 0 2 4 6 8 10 10
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