Maximum height of a plant is 30ft. And minimum height is 10 ft. If plant height is controlled by 3 pairs of genes, then the height of plant with genotype AaBbCc will be -

Options

A. 13.2 ft.
B. 23.2 ft.
C. 16.6 ft.
D. 19.9 ft.

Answer

To determine the height of a plant with the genotype AaBbCc, we will follow these steps:

### Step-by-Step Solution:

1. **Identify Maximum and Minimum Heights:**
- The maximum height of the plant is given as 30 feet.
- The minimum height of the plant is given as 10 feet.

2. **Calculate the Range of Height:**
- The range of height is calculated by subtracting the minimum height from the maximum height.
- Range = Maximum Height - Minimum Height = 30 ft - 10 ft = 20 ft.

3. **Determine the Number of Gene Pairs:**
- The problem states that the height is controlled by 3 pairs of genes (A, B, and C).

4. **Calculate the Contribution of Each Gene Pair:**
- Since there are 3 pairs of genes, we divide the total range by the number of gene pairs to find the contribution of each gene pair.
- Contribution per gene pair = Range / Number of Gene Pairs = 20 ft / 6 = 3.33 ft (approximately).

5. **Calculate the Contribution of Dominant Genes:**
- In the genotype AaBbCc, there are 3 dominant genes (A, B, and C).
- Therefore, the total contribution from the dominant genes = Contribution per gene pair × Number of Dominant Genes = 3.33 ft × 3 = 10 ft (approximately).

6. **Calculate the Final Height of the Plant:**
- The height of the plant can be calculated by adding the minimum height to the total contribution from the dominant genes.
- Height of the plant = Minimum Height + Contribution from Dominant Genes = 10 ft + 10 ft = 20 ft.

### Final Answer:
The height of the plant with genotype AaBbCc is approximately **20 feet**.

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