draw the path of the robot. he moves following the sides of the straight triangle with lengths

a = 33 cm

b = 66 cm

the distance from the start point is the hypotenuse of the right triangle c

using the Pythagorean Theorem we have

c^2 = a^2 + b^2

c^2 = 33^2 + 66^2

by solving we find and consider the positive roots since c>0

c = 73.79 cm

click here to see the step by step solution of the equation

the robot is 73.79 cm far from the starting point.