What is the resultant of a 30 unit and 60 unit vector inclined to each other at 60 degrees?

Suppose the 30 unit vector is acting horizontally.

Then the 60 unit vector has a horizontal component of 60*cos(60) units

and a vertical component of 60*sin(60) units.

So total horizontal = 30 + 60*cos(60) = 60 units

total vertical = 60*sin(60)= 51.96 units.

Then magnitude of resultant = sqrt(602 + 51.962) = sqrt(6300) = 79.37 units (approx).

And direction = tan-1(51.96/60) = 40.89 degrees (from the 30 unit vector).