Question

Please help! Vectors and angles

Answer 1

The velocity of the ship = 22 ∠157° = (22 cos 157°) i+  (22 sin 157°) j

The velocity of current = 5 ∠213° = (5 cos 213°) i+  (5 sin 213°) j

So, the resultant velocity = 22 ∠157° + 5 ∠213°
 = (22 cos 157°) i+  (22 sin 157°) j + (5 cos 213°) i+  (5 sin 213°) j
 = (22 cos 157° + 5 cos 213°) i + (22 sin 157° + 5 sin 213°) j
 = -24.444 i + 5.873 j
 = 25.14 ∠166.5°

The correct answer is option (1)
1) 25 knots at 166.5 degree

Answer 2

You're right, It was A!