A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $60 a month towards music. How much can he spend in December, taking into consideration that in the other 4 months he spent $100, $35, $40, and $55, respectively? Round your answer to two decimal places, if necessary.

"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?