Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. this situation can be modeled in terms of the unknown forces with the matrix equation below. solve this equation for f, and round answers to three decimal points.

"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?