Question

1. during the archaeological dig of a shipwreck near st. augustine, a bronze bell and a pewter spoon were found. what is the distance between the artifacts if each grid represents 1 foot? round to the nearest tenth, if necessary. 22.1 feet 22.0 feet 14.9 feet 4.6 feet

Explanation:

Step1: Identify the coordinates

The coordinates of the first - point are $(12,3)$ and the coordinates of the second - point are $(2,14)$.

Step2: Apply the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 12,y_1 = 3,x_2 = 2,y_2 = 14$.
\[

$$\begin{align*} d&=\sqrt{(2 - 12)^2+(14 - 3)^2}\\ &=\sqrt{(- 10)^2+11^2}\\ &=\sqrt{100 + 121}\\ &=\sqrt{221}\\ &\approx14.9 \end{align*}$$

\]

Answer:

14.9 feet