Find = 4A +B . Write your answer in component form.

Vector A is 2m long and 15 degrees from the positive Y axis and 75 degrees from the positive X axis
Vector B is 4 m long and 75 degrees from the negative Y and 15 degrees from the positive X axis

Vector A
has an angle of Right75degrees Up and a magnitude of 2, times that by 4, magnitude of 8
The Horozontal or X component of Vector A is 8Cos75=2.07
The Vertical or Y component of Vector A is 8Sin75=7.73

Vector B has an angle of Left 15 Degrees South and a magnitude of 4
The horozontal or X compnent of Vector B is -4Cos15=-3.86
The Vertical or Y component of Vector B is -4Sin15=-1.04

To solve for the resultant Vector We add the like components of both vectors together
So the x component will be 2.07+ -3.86= -1.79
so the y component will be 7.73 + -1.04= 6.69

I think this is the answer you are looking for, but i shall continue.
We can solve for the magnitude of the resultant vector through pythatgorous: Squareroot((1.79^2)+(6.69^2))= 6.93
The direction can be calculated by drawing a diagram of the two components and using simple trig.
-Tan(6.69/1.79)=75.03 Degrees. Which translates to
Left 75.03 Degrees Down.

The final Answer for this question would be: 6.69 metres [Left75.03DegreesDown]
( use a degrees symbol for every place i spelt the word Degrees)
Phew, hope that helps.