I'm guessing that you rounded off too soon. You should keep all the decimals until the end of the calculation. Only then should you do any rounding off. I will do your problem two ways. FIRST WAY: Here are the two vectors involved, the upper shorter black one is the vector of the ocean current, the lower black one is the vector of the ship relative to the ocean. The two blue lines complete the parallelogram, and the diagonal (the red vector) is the velocity vector of the ship.The angle between the two given vectors is 180°-(30°+82°) = 68° Therefore the angle at the bottom right of the parallelogram is 180°-68° = 112° Now we have a case of SAS to solve the lower triangle. The sides of the 112° angle, are the 40 mph vector of the ship, the short right side of the paralallelogram which is 3 units long because it is the same length as the ocean vector. We use the law of cosines to find the magnitude of the ship's velocity vector with respect to the land. That's the magnitude of the red vector, the ship's velocity vector with respect to the land. Now we use the law of sines to find the angle between the the ship's velocity vector with respect to the ocean (in green), and the ship's velocity vector with respect to the land. Suppose that angle is . So that is how much we must add to the given ships bearing S 82° E relative to the ocean to get the ship's bearing relative to the land. So the ship's bearing relative to the land is: S 82°+3.690551943° E or S 85.690551943° E or to the nearest tenth of a degree: S 85.7° E ----------------- SECOND WAY: You can also do it just by adding components. We convert the given angles to angles measured counterclockwise from the "EAST" short vector's horizontal component = 3cos(60°) = 1.5 long vector's horizontal component = 42cos(352°) = 43.09125889 --------------------------------------------------------------- sum of horizontal components = 43.09125889 short vector's vertical component = 3sin(60°) = 2.598076211 long vector's vertical component = 42sin(352°) = -5.84527024 ------------------------------------------------------------ sum of vertical components = -3.247194029 The resultant is found by the Pythagorean theorem That is the magnitude of the ship's velocity vector with respect to the land. [Same as when done the other way) The angle is found by getting the inverse tangent of the quotient of the two component sums: So the ships bearing east of south is found by 90° - 4.309448057° = 85.69055194° or S 85.690551943° E or to the nearest tenth of a degree: S 85.7° E Edwin