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**.