Some friends went on a trip from A to B via P. Walking from A to P at 6 km/h and the rest of the way at 3 km/h took 1 hour and 40
minutes. If they had walked the first stretch at 3 km/h and the rest of
the way at 2 km/h, it would have taken 3 hours. Find the distance
between A and B.

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?