Hello, blame_canada100!

I found a solution.

But there may be (there *should* be) a more elegant one.

The measures of the angles between the resultant

. . and two applied forces are 65° and 42°.

If the magnitude of the resultant is 24 pounds,

. . find to the nearest pound the magnitude of the smaller force. Code:

R S
* *
|* * |*
| * * | *
| * b 24 * | *
| * * | *
| * * | *
| * 65° * | *
| * * 42° | *
* - - - * - - - - - - - * - - - *
P a Q

The two vectors are: .

. . .The resultant is: .

We have: .

Hence: .

Solve the system for and and see which is smaller.