Two vectors, one 12m pointing left and another 16m pointing upwards, are added together. What is the magnitude of the resultant vector?

To find the magnitude of the resultant vector when two vectors are added together, you can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here are the steps to solve the problem:

1. Square the lengths of the two vectors: (12m)^2 = 144m^2 and (16m)^2 = 256m^2

2. Add these two values together: 144m^2 + 256m^2 = 400m^2

3. Take the square root of the result to find the magnitude of the resultant vector: sqrt(400m^2) = 20m

So, the magnitude of the resultant vector is 20m.