To determine how much vaccine should be given to a 60-pound goat, we start with the rate of the vaccine, which is 2 milliliters for every 15 pounds of body weight.
First, we calculate how many 15-pound units are in 60 pounds:
\[ \frac{60 \text{ pounds}}{15 \text{ pounds/unit}} = 4 \text{ units} \]
Since each unit requires 2 milliliters of vaccine, we multiply the number of units by the amount of vaccine per unit:
\[ 4 \text{ units} \times 2 \text{ milliliters/unit} = 8 \text{ milliliters} \]
Thus, for a 60-pound goat, the amount of vaccine needed is:
\[ \text{8 milliliters} \]
The answer is 8 milliliters.