If a ship is sailing in a northerly direction and then turns to the right until it is sailing in a southwesterly direction, it has gone through a rotation of:

Question

Can you please help me with this question. The answer choices are:

(A) 45° (B) 90° (C) 135° (D) 180° (E) 225°

Answer 1

The answer is E, 225 degrees.

When the ship is saling north, it is going up on the Y-axis. Then, it turns right and keeps turning (if I am understanding the problem correctly), until it is pointing in the III quadrant (where both X and Y are negative). That way, it had to have turned through quadrant I, which makes it 90 degrees, then quadrant IV, which makes it 180 degrees (now it is kind of pointing south), and then even past the negative Y-axis to turn to the SouthWest direction. We do not know exactly where in quadrant III it is pointing, but the only answer greater than 180 degrees here is 225. I hope that this makes sense!

Answer 2

Answer is (c) 135 degree

Justification - A ship is sailing in a northerly direction and turns to the right i.e., the ship is now sailing towards the east direction and the ship is sailing until it reaches southwesterly direction so at first ship needs to make a rotation on 90 degree to first reach southern direction and from there ship needs to sail to make a rotation of 45 degree to reach mid of southern and western direction.

Eventually ship will make a rotation of 90+45 = 135 degrees (proven).