Answer:
The robot's location from its initial location after 7 minutes is (233, 386)
Distance moved from initial location = 451.56 yards < 59.2° North-East
Explanation:
Since the robot moves 33 yards east and 55 yards north each minute, the distance it moves east in 7 minutes is 33 yards/minute × 7 minutes = 231 yards.
The distance it moves north in 7 minutes is 55 yards/minute × 7 minutes = 385 yards.
The robot's location from its initial location after 7 minutes is (2 + 231, 3 + 385) = (233, 388)
The distance moved from the initial location is
r = √(231² + 385²)
= √(53361 + 150544)
= √203905
= 451.56 yards
Its direction is gotten from tanθ = distance moved north/distance moved east = 388/231 = 1.680
θ = tan⁻¹(1.680) = 59.23° ≅ 59.2°