Posted by **Jane Smith** on Tuesday, January 15, 2013 at 9:01am.

Two people are holding a box. One person exerts a force of 140 pounds at an angle of 65.5 degrees with the horizontal. The other person exerts a force of 115 pounds at an angle of 58.3 degrees with the horizontal. Find the net weight of the box.

- Math -
**Reiny**, Tuesday, January 15, 2013 at 10:18am
use vectors

140 pounds at 65.5 ---> (140cos65.5 , 140sin65.5)

= (58.057 , 127.3946)

115 pounds at 58.3° ---> (115cos58.3 , 115sin 58.3)

= (60.429 , 96.9925)

add them up for (118.486 , 224.387)

maginitude = √( sum of the squares of the components)

= appr 253.75

check my button-pushing

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