How can the height of a person who is six feet tall be expressed (approximately) in nanometres?

Question

1 foot = 0.3048 m exactly, so 6 feet = 1.8288 m ≈ 1.83 m. 1 m = 10⁹ nm, thus 1.83 m = 1.83 × 10⁹ nm = 183 × 10⁷ nm. Option (a) equals 1.83 × 10⁸ nm (0.183 m), too small. Option (b) equals 2.34 × 10⁸ nm (0.234 m), incorrect. Option (d) equals 2.34 × 10⁹ nm (2.34 m), too tall for average height. Matches standard conversion: 6 ft ≈ 183 cm = 1.83 × 10⁹ nm.

GKToday Admin · Accepted Answer

183 × 10⁷ nanometres 1 foot = 0.3048 m exactly, so 6 feet = 1.8288 m ≈ 1.83 m. 1 m = 10⁹ nm, thus 1.83 m = 1.83 × 10⁹ nm = 183 × 10⁷ nm. Option (a) equals 1.83 × 10⁸ nm (0.183 m), too small. Option (b) equals 2.34 × 10⁸ nm (0.234 m), incorrect. Option (d) equals 2.34 × 10⁹ nm (2.34 m), too tall for average height. Matches standard conversion: 6 ft ≈ 183 cm = 1.83 × 10⁹ nm.

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