The ratio of the heights 1.50 m and 75 cm of two persons can be written as

Options

A. `1:50`
B. `1:5`
C. `2:1`
D. `1:2`

Answer

To find the ratio of the heights of two persons, we need to ensure both heights are in the same unit. Let's solve the problem step by step.

### Step-by-Step Solution:

1. **Convert the heights to the same unit**:
- The height of the first person is given as 1.50 meters.
- The height of the second person is given as 75 cm.
- Since 1 meter equals 100 cm, we convert 1.50 meters to centimeters:
\[ 1.50 \text{ m} = 1.50 \times 100 \text{ cm} = 150 \text{ cm} \]

2. **Write the heights in centimeters**:
- Height of the first person: 150 cm
- Height of the second person: 75 cm

3. **Set up the ratio**:
- The ratio of the heights can be written as:
\[ \text{Ratio} = \frac{\text{Height of first person}}{\text{Height of second person}} = \frac{150 \text{ cm}}{75 \text{ cm}} \]

4. **Simplify the ratio**:
- To simplify the ratio, divide both the numerator and the denominator by 75:
\[ \frac{150 \text{ cm}}{75 \text{ cm}} = \frac{150 \div 75}{75 \div 75} = \frac{2}{1} \]

5. **Final ratio**:
- Therefore, the ratio of the heights of the two persons is:
\[ 2:1 \]