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Bus Scale Height

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Bus Scale Height


1. The problem states that a scale model of a bus is 60 cm tall and the scale ratio is 2 : 15. 2. This means that 2 units on the model correspond to 15 units in real life. 3. We want to find the real height of the bus in metres. 4. Set up a proportion where $\frac{2}{15} = \frac{60}{x}$, where $x$ is the real height in cm. 5. Cross-multiply to solve for $x$: $$2x = 15 \times 60$$ $$2x = 900$$ $$x = \frac{900}{2} = 450 \text{ cm}$$ 6. Convert $450$ cm to metres by dividing by 100: $$450 \div 100 = 4.5 \text{ metres}$$ 7. Therefore, the real bus is 4.5 metres tall.