what is the magnitude of the resultant force on the ball?

Question

Sue and Jenny kick a soccer ball at exactly
the same time. Sue's foot exerts a force of
41.7 N to the north. Jenny's foot exerts a
force of 116.3 N to the east.
a) What is the magnitude of the resultant
force on the ball? Answer in units of N.
b.)What is the direction of the resultant force
(measured from East)? Answer in units of in degree

Answer 1

Let i, j, k be the unit direction vectors

Fs=41.7 j
Fj=116.3 i

F-total= + 116.3 i +41.7 j;
|F-total|=sqrt(41.7^2+116.3^2)=123.55 N

from x-axis θ=arctan(41.7/116.3)=19.7 degrees