A rocket travels a distance of 4metres south and 3metres west, determine the magnitude

To determine the magnitude, we can use the Pythagorean theorem. The magnitude is the length of the hypotenuse of the right triangle formed by the distance traveled south and the distance traveled west.

Using the Pythagorean theorem, the magnitude can be calculated as follows:

Magnitude = √(distance south)^2 + (distance west)^2
= √(4m)^2 + (3m)^2
= √16m^2 + 9m^2
= √25m^2
= 5m

Therefore, the magnitude of the rocket's travel is 5 meters.