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.