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Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule
≈98.3
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
≈36.8
The distance between the ship and the Buoy is given:
miles
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
The distance between the ship and the Buoy is given: