Mason is building a scale model of a truck, using the scale 64 : 5. the actual measurements of the truck are given in the table
length 230 inches
width 79 inches
height 80 inches
measurements are rounded to the nearest tenth of an inch

"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?