Posted by **Cameron** on Friday, December 16, 2011 at 9:30am.

Two forces are pushing on an object, one at 12 lbs of Force and one at 5.66 lbs of Force. The angle between them is 35° (each is 72.5 from horizontal, such that the forces make a v with the object in the center).

17. What is the total Force on the object?

18. What is the smallest angle of the triangle?

19. What is the largest angle in the triangle?

20. What is the remaining angle of the triangle?

- geometry -
**Reiny**, Friday, December 16, 2011 at 1:44pm
I assume you constructed a parallelogram so that the diagonal is the resultant of the two forces

The obtuse angle would then be 180-35 = 145°

Use the cosine law to find the magnitude |r| of that resultant

|r|^2 = 5.66^2 + 12^2 - 2(12)(5.66)cos 145°

= 287.309

|r| = 16.95

"What is the smallest angle of the triangle", I will assume we are looking at the triangle just dealt with above ...

The smallest angle will be opposite the smallest side, let it be Ø

sinØ/5.66 = sin 145/16.95

sinØ = .19153..

Ø = 11.04°

easy to find the third angle

## Answer this Question

## Related Questions

- Geometry - Two forces are pushing on an object, one at 12 lbs of Force and one ...
- geometry - Two forces are pushing on an object, one at 12 lbs of Force and one ...
- geometry - Two forces are pushing on an object, one at 12 lbs of Force and one ...
- geometry - 16. Vector A has a magnitude of 3 in the leftward direction and B has...
- geometry - 16. Vector A has a magnitude of 3 in the leftward direction and B has...
- geometry - A plane is heading west at 200 mph. The wind is blowing S30°W at 25 ...
- Physics - A sign whose weight is 95 lbs is held up by a chain. (1) With what ...
- trigonometry - Find the magnitude of the resultant force and the angle between ...
- Physics - A crate sets on wooden horizontal surface (a wooden floor). The ...
- math - Forces are applied to two ropes which are attached to the bumper of a ...