(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A meter stick is at rest in the laboratory frame. It lies in the x-y plane, making an angle of 30° with the x-axis. What angle does this meter stick make with the x'-axis of a reference frame moving at V=0.8c in the x-direction.

Laboratory frame is the rest frame.

Variables: θ=30°, θ', V=0.8c

2. Relevant equations

Length Contraction

x = x'*√1-V^{2}/c^{2}

3. The attempt at a solution

I tried treating the meter stick as a unit vector so that x=(1)cosθ and x'=L'cos(θ'). y=y' obviously.

cos(θ') = cos(30)/√1-0.8^{2}

= 0.866/0.6

= 1.44

θ'=cos^{-1}(1.44)=domain error

I feel like I'm making a stupid mistake and I just can't see it

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# Homework Help: Special Relativity Angles

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