Answer
The timing station would measure a length of about 87.4m
Work Step by Step
We know that a spaceship of rest length 130 m races past a timing station at a speed of 0.740c.
We can use the length contraction equation to find the length as measured from the timing station.
$L=L_0 \sqrt{1-\beta^2}$
$L=130m \sqrt{1-0.740^2}$
$L=87.4m$
