Posted by **Arielle** on Wednesday, November 2, 2011 at 12:07pm.

The resultant of two forces of 1120 N and 2210 N is 2870 N. What angle does the resultant make with each of the two forces?

- Algebra II -
**Steve**, Wednesday, November 2, 2011 at 1:16pm
Draw a triangle ABC with

AB = 1120

BC = 2210

AC = 2870

You want angles CAB and ACB. In other words, angles A and C

using the law of cosines,

2820^2 = 1120^2 + 2210^2 - 2(1120)(2210) cosB

Now, knowing cos B,

sinA/2210 = sinB/2870 = sinC/1120

sinA = 2210*sinB/2870

sinC = 1120*sinB/2870

Done.

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