Question

You need to guide a robot from the red dot on the left to the green dot on the right, avoiding the blue walls along the way. To do this, you must feed it a series of commands of the form "turn degrees and move units forward". Angles are measured in de with positive angles turning counterclockwise, and negative angles turning clockwise. All turns are relative to the robot's current direction wi turns. The grid marks 1 unit squares From the red starting dot, with the robot facing directly to the right, issue your commands: (all commands should be given as decimal values) Move 1: Turn 38.65 degrees and move 6.40 units forward Move 2: Turnegrees and move units forward Move 3: Turn g Enter an integer or decimal number [more units forward Move 4: Turn degrees and move units forward To be successful, your robot must end up within the green ending dot, and not collide with any walls.*

Answer 1

CONVERT THIS GRAPH INTO XY GRAPH WITH ORIGIN AT LEFT BOTTOM CORNER.

then position of red dot is (0,3).

Now when X=5 , Y should be greater than 6 .

let it be 7 . so , to reach (5,7) total distance travelled =

(5-0)2 + (7-3)--V41 = 6.4

and angle = in anticlockwise direction .

2 tan-1 = t 5-0 anーだー38.66

now its position is (5,7) .

Now when X=9 , Y should be greater than 0 but less than 3.

let y be 2 . so , to reach (9,2) total distance travelled =

(9-5)2 + (2-7)2-V41 = 6.4

and angle =   in clockwise direction .

7-2 -1 = tan-i-= 90 9 -5 38.66 + tan1-

also now it is making angle 51.34 in clockwise direction with respect to postive x axis .

now its position is (9,2) .

Now when X=14 , Y should be greater than 3 but less than 5 and

also when X=17 , Y should be greater than 5

let y be 6 when X=17  . so , to reach (17,6) total distance travelled =

/(17-9)2 + (6-2)--V80-894

and angle =   in anticlockwise direction .

6-2 51.34 + tan1 17-9 77.9 = tan

also now it is making angle 26.56 in anticlockwise direction with respect to postive x axis .

now its position is (17,6) .

Position of green dot is (24,3).

so , to reach (24,3) total distance travelled =

(24-17)2 + (6-3)--V58 7.61

and angle =   in anticlockwise direction .

26.56 + tan-16-3 tan-1L_ tan 49.75 7

Now it has reached its final destination.