The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motion
The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the ship
The displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacement
tanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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