# Finding the resultant of two vectors

1. Sep 10, 2013

### eddiedowen

1. The problem statement, all variables and given/known data
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.

2. Relevant equations

3. The attempt at a solution

2. Sep 10, 2013

### 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.

3. Sep 10, 2013

### eddiedowen

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

4. Sep 10, 2013

### Ampere

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

5. Sep 10, 2013

### Staff: Mentor

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?

6. Sep 17, 2013

### Staff: Mentor

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