To find Bob's percentage error in estimating the height of the giraffe, we can use the following formula for percentage error:
\[ \text{Percentage Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Actual Value}|} \right) \times 100 \]
Where:
- Estimated Value = 18 feet
- Actual Value = 16 feet
Now let's plug in the values into the formula:
- Calculate the absolute error (the difference) between the estimated value and the actual value:
\[ |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet} \]
- Now divide the absolute error by the actual value:
\[ \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Actual Value}|} = \frac{2}{16} \]
- Now calculate this value:
\[ \frac{2}{16} = 0.125 \]
- Finally, multiply this result by 100 to convert it to a percentage:
\[ \text{Percentage Error} = 0.125 \times 100 = 12.5% \]
Therefore, Bob's percentage error in estimating the height of the giraffe is 12.5%.