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Height Comparison

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Height Comparison


1. The problem involves comparing the heights of Billy and Aiza using the ruler markings. 2. Billy's head is at the 12 cm mark, and Aiza's head is at the 7 cm mark on the ruler. 3. To find the difference in their heights, subtract Aiza's height from Billy's height: $$12\text{ cm} - 7\text{ cm} = 5\text{ cm}$$. 4. This means Billy is 5 cm taller than Aiza. 5. If the ruler is scaled such that 1 cm on the ruler corresponds to 0.1 m in real height (since Billy is 1.8 m tall and his head aligns with 12 cm), then each cm represents $$\frac{1.8\text{ m}}{12} = 0.15\text{ m}$$. 6. Using this scale, Aiza's height is $$7 \times 0.15 = 1.05\text{ m}$$. 7. Therefore, Billy's height is 1.8 m and Aiza's height is approximately 1.05 m. 8. The difference in their heights in meters is $$1.8\text{ m} - 1.05\text{ m} = 0.75\text{ m}$$. Final answer: Billy is 1.8 m tall, Aiza is approximately 1.05 m tall, and Billy is 0.75 m taller than Aiza.