Algebra Question!

Question

Mr. Meyer entered the subway at High St. Station and traveled 16 miles on a heading of 165º (measured counterclockwise from reference of 0º for due east), then changed lines and traveled 25 miles on a heading of 70º. How far was he now from High St. Station?

(A) 27.6 mi N, 24 mi E

(B) 27.6 mi N, 6.9 mi W

(C) 25 mi N, 16 mi W

(D) 28.45 mi N

(E) None of the above

I got 28.49 miles, which is not an option, so I chose (E) None of the above. Is this correct?

Answer 1

First leg of trip, 15.45 west and 4.14 north

Second leg of trip, 8.55 east and 23.49

Result -15.45 + 8.55, or 6.9 west and 4.14 + 23.49 or 27.6 north.