Answer
$R=204 \space Km$
Work Step by Step
We can find the required range as follows:
$R=\frac{2v_i^2 \space sin\theta \space cos\theta}{g}$
We plug in the known values to obtain:
$R=\frac{2(1.46\times 10^3)^2 sin 55^{\theta}cos 55^{\theta}}{9.8}$
This simplifies to:
$R=204 \space Km$
