# Math Help - trigonometry

1. ## trigonometry

Hi, this is math homework but actually a physics promblem.

An object is suspended from the ceiling on 2 wires. Provided that the ceiling and the wires form angles of 55 and 33 degrees respectively and the object weighs 12 kilograms, what is the (tensile) force exerted upon each of the wires?
I made a little picture representation of how I think it works. Not sure if it's correct though. (I didn't pay attention in physics.) I don't really know in what directions the respective forces work either.

If I am correct then, I guess it should be:
sin(55degrees)= 120 / Fw1
Fw1=120 / sin(55degrees)
Fw1=120 / 0.82
Fw1=146 N

Fw2 analogically

Could someone please check/correct my work?

Any help is appreciated.

/Mike/

2. equilibrium ...

$\sum{F_x} = 0$

$W_1\cos(55) = W_2\cos(33)$

$\sum{F_y} = 0$

$W_1\sin(55) + W_2\sin(33) = 120$

solve the system for $W_1$ and $W_2$