just to confirm your question is find (vector A + vector B)?

it is good to see that you have had a go at the question first

so let's break up the components of the vectors.

for vector A, we can see that the it points straight down on the y axis. There is no X component of this vector.

for vector B, we can use trig to resolve the vectors. the length of the Y component of Vb will be 15cos(30) = 12.99m and the X component of Vb will be 15sin(30) = 7.5m

Your Y component for vector B has a negative for some reason. It would be best to take one direction of each axis as positive. So conventionally up on the y axis and to the right on the X axis are positive.

Now what we do is add the X components of Vector A and Vector B together AND then the Y components of Vector A and Vector B together to get the resultant X and Y vector components.

for X direction: 7.5m + 0m = 7.5m (note that there was no X component for vector B)

for Y direction: -8m + 12.99m = 4.99m (-8m because the vector is pointing down)

So the resultant vector will look like this (in green):

so the final answer would be:

the resultant vector is of length 4.99 units at 33.69 degrees CCW from the positive X axis

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