To find the distance between the points \( A(10, 1) \) and \( B(18, 17) \), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \( A(x_1, y_1) = (10, 1) \) and \( B(x_2, y_2) = (18, 17) \).
Now, substituting the coordinates into the formula:
\[ d = \sqrt{(18 - 10)^2 + (17 - 1)^2} \]
Calculating the differences:
\[ d = \sqrt{(8)^2 + (16)^2} \]
Calculating the squares:
\[ d = \sqrt{64 + 256} \]
Adding these values:
\[ d = \sqrt{320} \]
Now, taking the square root:
\[ d \approx 17.888 \]
Rounding to the nearest tenth, the distance between the points \( A \) and \( B \) is:
\[ \boxed{17.9} \]