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First of all, its nose has to point in the direction of motion, or you don't get the

answer you're fishing for. The contraction only occurs in the direction of motion.

If the length of the ship is 100 meters in the reference frame in which it's at rest,

and it then departs at 90% of the speed of light, the same observer in the same

reference frame now sees it contract to a length of 43.59 meters.

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