Solved Problems

Problem 1: In a right spherical triangle $ABC$ with $C=90^\circ$, given $a = 40^\circ$ and $b = 60^\circ$, find side $c$.

Problem 2: Find the shortest distance (great circle distance) between Manila ($14^\circ35' \text{ N}$, $120^\circ59' \text{ E}$) and San Francisco ($37^\circ46' \text{ N}$, $122^\circ26' \text{ W}$). Assume Earth's radius $R = 6371 \text{ km}$.