An Earth$-$based observer measures the distance from her location to Polaris to be $4\mathrm{.}1{10}^{15}km.$ If a spaceship is traveling at a constant speed of $0\mathrm{.}88$ c from Earth to Polaris, what does the astronaut aboard the spaceship measure the distance between Earth and Polaris to be$?$

Assume that Earth and Polaris are stationary with respect to one another.

$1\mathrm{.}42{10}^{15}km$

$8\mathrm{.}632{10}^{15}km$

$4\mathrm{.}1{10}^{15}km$

$1\mathrm{.}947{10}^{15}km$