Find the distance between point

To find the distance between two points \( A(-5, 6) \) and \( B(6, 17) \), we can use the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Here, \( (x_1, y_1) \) are the coordinates of point \( A \), and \( (x_2, y_2) \) are the coordinates of point \( B \).

Substituting in the coordinates:

\[
x_1 = -5, \quad y_1 = 6, \quad x_2 = 6, \quad y_2 = 17
\]

Now, calculating the differences:

\[
x_2 - x_1 = 6 - (-5) = 6 + 5 = 11
\]
\[
y_2 - y_1 = 17 - 6 = 11
\]

Now substituting back into the distance formula:

\[
d = \sqrt{(11)^2 + (11)^2} = \sqrt{121 + 121} = \sqrt{242}
\]

Next, calculate \( \sqrt{242} \):

\[
\sqrt{242} \approx 15.556
\]

Rounding this to the nearest tenth gives:

\[
d \approx 15.6
\]

Thus, the distance between points \( A \) and \( B \) is approximately **15.6**.