Answer
about 109 miles
Work Step by Step
Begin sketching (see below):
1. Place A anywhere. At A draw a vertical north/south line.
Point B is at $55^{o} $east of south.
2. At B draw a vertical north/south line. Point C is at $35^{o}$from north
3. The angle at B is made of two parts, x and y, in total $90^{o}$
4. ABC is a right triangle, Pythagorean Theorem applies.
$d=\sqrt{81^{2}+74^{2}}\approx 108.9771$
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