Answer:
584.32m
Explanation:
Firstly, we need to find the x and y components of each vector.
x-component for vector L=303cos205°=-274.61
y-component for vector L=303sin205°=-128.05
x-component for vector M=555cos105°=-143.64
y-component for vector M=555sin105°=536.09
Since it's the vector sum, we add the x and y components of each vector.
Resultant vector x-component -274.61+(-143.64)=-418.25
Resultant vector y-component -128.05+536.09=408.04
Now, to find the magnitude, we use the formula 
sqrt(-418.25^2+408.04^2)=584.32m
Check my work for errors just in case.