Answer to Question #20661 in Trigonometry for janus
the westward and southward components of the velocity of a shipare 67 knots and 12.5 knots respectively. find the speed of the ship and direction in which she is sailing
According to the Pythagoras' theorem, the speed of the ship is
S = √((67[knot])² + (12.5[knot])²) ≈ 68.156[knot].
Direction of the ship is
α = π + cos-1(12.5[knot]/68.156[knot]) ≈ 259°43'
(counting from the north as zero degree).