Subjects geometry

Ship Journey Scale

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Ship Journey Scale


1. **Problem statement:** We have a ship journey starting from Island C, traveling North East, then West, then South East, and returning to Island C. 2. **Sketching the journey:** - From Island C, draw an arrow pointing North East to the next point. - From that point, draw an arrow pointing West. - From there, draw an arrow pointing South East back to Island C. This completes the triangular route of the ship. 3. **Finding the scale:** - Given: Distance on map from Island A to Island B is 6 cm. - True distance between Island A and Island B is 60 km. 4. **Calculate the scale:** - Scale = (True distance) / (Map distance) - Scale = $\frac{60\text{ km}}{6\text{ cm}} = 10\text{ km/cm}$ 5. **Interpretation:** - Every 1 cm on the map represents 10 km in reality. **Final answers:** - a) The ship's journey is a triangle starting at Island C, going North East, then West, then South East back to Island C. - b) The scale used is 1 cm : 10 km.