Answer
about 1166 m
Work Step by Step
Begin sketching (see below):
1. at point C, draw a vertical north/south line.
2. point B is at an angle of 25$4^{o}$ from north, A is at $344^{o}$
3. at point B, draw a vertical north/south line. Point A is at $32^{o}$ from north
4. at point A, draw a vertical north/south line. The angle a t A is divided into two
5. Conclude that at C we have a right angle
6. Find the two parts of the angle at A, giving $48^{o}$
Use CAH in SOHCAHTOA.
$\displaystyle \cos A=\frac{AC}{AB}\qquad$ (solve for AB)
$\displaystyle \cos 48^{\circ}=\frac{780}{AB}$
$AB\cos 48^{\circ}=780$
$AB=\displaystyle \frac{780}{\cos 48^{\circ}}\approx 1165.6917$.
The distance from $A$ to $B$ is about 1166 m.
