If today a signboard is nailed to the side of a tree 5 feet above the groud, how high would the sign be after 6 years if tree grows 4 inches taller per year ?

Options

A. Move up by 24 inches
B. Move down by 24 inches
C. Remain where it was
D. Move up by 16 inches

Answer

To solve the question of how high the signboard will be after 6 years if the tree grows 4 inches taller per year, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Height of the Signboard**:
The signboard is initially nailed 5 feet above the ground.

2. **Convert the Height of the Signboard to Inches**:
Since the tree's growth is given in inches, we need to convert the height of the signboard from feet to inches.
- 1 foot = 12 inches
- Therefore, 5 feet = 5 x 12 = 60 inches.

3. **Calculate the Growth of the Tree Over 6 Years**:
The tree grows 4 inches taller each year.
- In 6 years, the total growth of the tree will be:
\[ 4 \text{ inches/year} \times 6 \text{ years} = 24 \text{ inches}. \]

4. **Determine the New Height of the Signboard**:
Since the signboard is attached to the tree, as the tree grows, the height of the signboard above the ground will increase by the same amount the tree grows.
- Therefore, after 6 years, the new height of the signboard will be:
\[ 60 \text{ inches (initial height)} + 24 \text{ inches (growth)} = 84 \text{ inches}. \]

5. **Convert the New Height Back to Feet**:
To express the new height in feet:
\[ 84 \text{ inches} \div 12 = 7 \text{ feet}. \]

### Final Answer:
After 6 years, the signboard will be 7 feet above the ground.

---