Answer
Navigate $N 46^{\circ} W$
Work Step by Step
Using the law of cosines we can plug in the known information:
$b^{2} = a^{2}+c^{2} - 2*a*c*cos\beta$
Since $a = 7, c=6$ and $b = 5$ we have:
$25 = 49+36-84*cos\beta$
$25 = 85-84*cos\beta$
$cos\beta = 0.714$
$\beta \approx44^{\circ}$
Subtract $44^{\circ}$ from $90^{\circ}$ to get $46^{\circ}$.
