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July 25, 2014

Posted by **Amber** on Tuesday, June 5, 2012 at 7:05pm.

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?

Please help me out, thank you <3

- Geometry -
**Reiny**, Tuesday, June 5, 2012 at 7:54pmmake a sketch

complete the parallogram with the resultant as the diagonal

consider the triangle with sides 12 and 5.66 with the contained angle of 145°, with the longest side representing the resultant

let that longest side be x

by cosine law

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

..

..

x = 16.95... (total force on object)

smallest angle is opposite the 5.66 side, call it Ø

sinØ/5.66 = sin145/x

sinØ = .1915...

Ø = 11.042°

largerst angle is 145°

third angle is 180- sum of the other two

= 23.96°

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