- #1

- 31

- 1

## Homework Statement

Calculate the net force acting on the object in the following diagram:

## Homework Equations

cosine law / sine law

ONLY solving using cosine/sine laws.

## The Attempt at a Solution

First using the cosine law to find the magnitude of the net force:

c

^{2}=a

^{2}+b

^{2}-2abcosC

c

^{2}=12

^{2}+15

^{2}-2 x 12 x 15 (cos124)

c

^{2}=369-(-201)

c

^{2}=570

c=23.9N

Now using sine law to find the angle:

sina/12=sinb/15=sin124/23.9

b=sin

^{-1}(sin124/23.9 x 15)

b=31 degrees

Now I just don't know in which direction am I supposed to say it is pointing towards? Because if you look at the diagram and my work, it looks as if it is almost straight East. What should I do?