Final answer:
The magnitude of the vector is 137.2m.
Step-by-step explanation:
The magnitude of a vector can be found using the formula |C| = sqrt(Cx^2 + Cy^2), where Cx is the x-component of the vector and Cy is the y-component of the vector.
For this problem, Cx = -105m and Cy = -88.2m. Substituting these values into the formula, we get |C| = sqrt((-105m)^2 + (-88.2m)^2) = sqrt(11025m^2 + 7797.24m^2) = sqrt(18822.24m^2) = 137.2m.
Therefore, the magnitude of the vector is 137.2m.