Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, `(11)/(5)` seconds after he sees it strike the tree. How far is the man from the wood chopper?

Options

A. 2197 ft
B. 2420 ft
C. 2500 ft
D. 2629 ft

Answer

To solve the problem, we need to find out how far the man is from the wood chopper based on the time it takes for the sound of the axe striking the tree to reach him.

### Step-by-Step Solution:

1. **Identify the speed of sound**:
The speed of sound in air is given as 1100 feet per second.

2. **Identify the time delay**:
The man hears the sound of the axe striking the tree \( \frac{11}{5} \) seconds after he sees it strike.

3. **Use the formula for distance**:
The formula to calculate distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

4. **Substitute the values into the formula**:
Here, the speed is 1100 feet per second and the time is \( \frac{11}{5} \) seconds. So we substitute these values into the formula:
\[ \text{Distance} = 1100 \, \text{feet/second} \times \frac{11}{5} \, \text{seconds} \]

5. **Calculate the distance**:
First, we simplify the multiplication:
\[ \text{Distance} = 1100 \times \frac{11}{5} \]
To make calculations easier, we can first divide 1100 by 5:
\[ 1100 \div 5 = 220 \]
Now, multiply by 11:
\[ \text{Distance} = 220 \times 11 = 2420 \, \text{feet} \]

6. **Final answer**:
Therefore, the distance from the man to the wood chopper is **2420 feet**.