How Does Relativity Affect the Measured Angle of a Ramp on a Space Station?

[a.a]

Homework Statement

A carpenter on a space statopn has constructed a 30 degress ramp. A rocket moves past the space station with a relative speed f 0.730c in a direction parallel to the horizontal. What does a person above the ocker measure for the angle of the ramp?

Homework Equations

sine and cosine relations
L(m) = L(s)sqrt. 1-v^2/c^2

The Attempt at a Solution

I haven't been able to simplify far enough to get an angle. I'm not to sure about which length is L(m) or L(s) and I assumed that the angle that the rocker would measure would be from L(m) and H(m), but i arrive at a different answer. The answer is supposed to be 40.2 degrees.

 

[malawi_glenn]

can you show the work you did in detail. Otherwise you won't get help.

 

[Hootenanny]

Edit: Sorry MG, I didn't see your post there.

 

[a.a]

does the heigh always stay the same regargless of weather it is starionaty or moveing?

Umm.. so i took another look and i decided to use trig ratios and solve for moveing length and let relativeistic length be root. 3

 

[Hootenanny]

does the heigh always stay the same regargless of weather it is starionaty or moveing?

That is correct, since motion in perpendicular directions is independent, Lorentz contractions are only observed in the direction in which the observer is travelling. So in this case the observed height is equal to the proper height, but the base of the ramp is observed to be Lorentz contracted.