# Finding the resultant of two vectors

eddiedowen

## Homework Statement

S is a vector 24.3 units in magnitude and points at an angle of 54.8 degrees below the negative x-axis. T is a vector 18.8 units in magnitude and points at an angle of 37.7 degrees above the positive x axis. Find the resultant of the two vectors by resolving into rectangular components.

## The Attempt at a Solution

Ampere
Sketch right triangles involving S and T and use cosine and sine to find each vector's x and y components. Then add the components.

eddiedowen
How do I know what the other angles are aside from 90 degrees?

Ampere
You can use the tangent to find them, since you know the length of the adjacent and opposite sides.

Mentor
How do I know what the other angles are aside from 90 degrees?
The problem statement gives one of the angles of each triangle. Did you remember that the complementary angles of a right triangle sum to 90 degrees?

Mentor
Eddie, you need to complete the template before we can help you.