Answer:
The ship is 84.853 nautical miles away on a bearing of 155°.
Step-by-step explanation:
A knot is one nautical mile per hour.
During the first two hours, the ship moves a distance of 60 nautical miles at an angle of 110°. The x and y components are:
x₁ = 60 cos 110° ≈ -20.521
y₁ = 60 sin 110° ≈ 56.382
During the second two hours, the ship moves another distance of 60 nautical miles, this time at an angle of 200°. The x and y components are:
x₂ = 60 cos 200° ≈ -56.382
y₂ = 60 sin 200° ≈ -20.521
The x and y components of the total displacement is:
x = x₁ + x₂ ≈ -76.903
y = y₁ + y₂ ≈ 35.860
The magnitude of this displacement is:
d = √(x² + y²) ≈ 84.853
The direction of this displacement is:
θ = atan(y / x) = 155°
The ship is 84.853 nautical miles away on a bearing of 155°.
