We know that $n\lambda=2d\sin \theta$
$2\theta=14.66^{\large\circ}$
$\theta=7.33^{\large\circ}$
$\lambda =70.93pm=70.93\times 10^{-12}m$
$d=\large\frac{n\lambda}{2\sin \theta}$
$\;\;\;=\large\frac{2\times 70.93\times 10^{-12}}{2\sin 7.33}$m
$\;\;\;=555.94$pm