How to find the angle between wire and magnetic field

[dedra73]

Homework Statement

A wire of length 0.655 m carries a current of 21.0 A. In the presence of a 0.470-T
magnetic field, the wire experiences a force of 5.46 N. What is the angle (less than
90degrees) between the wire and the magnetic field?

Homework Equations

Is there a special formula to solve this equation?
If what I have done below is correct, how do I find Theta if all I know is
the sin of Theta?

The Attempt at a Solution

I used the equation F=BILsinTheta
5.46=.655m*21.0A*.470T*sinTheta
5.46=6.46485*sinTheta
5.46/6.46485=sinTheta
.844567 = sinTheta

 

[Nabeshin]

Err... How far along are you in math? Have you ever encountered inverse trig functions?