There are 2 vectors representing the
displacement: one is, <85,0> and
the horizontal and vertical components of the second, (45 cos 30.0 for
horizontal) which is equivalent to 39m, and (45 sin 30.0 for the vertical)
which is equivalent to 22.5 m. The components of the second vector therefore,
is <39, 22.5>.
Therefore, the 2 vectors are:
1. <85,0>
2. <39, 22.5>
In adding 2 vectors together, follow this
formula: <a1, a2> and <b1, b2>.
The sum of the two vectors is: <a1 + b1, a2 +
b2>.
Add:
<85 + 39, 0 + 22.5>
You will have the resultant vector for the displacement
(not the actual displacement). If you want to get the actual displacement in
meters, calculate the resultant vector: the square root of (a^2 + b^2) where a and b are the components of the resultant
vector.