To find the distance between the points \((8, 4)\) and \((1, 10)\), you can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \((x_1, y_1) = (8, 4)\) and \((x_2, y_2) = (1, 10)\).
Now, substitute the values into the formula:
\[ d = \sqrt{(1 - 8)^2 + (10 - 4)^2} \] \[ d = \sqrt{(-7)^2 + (6)^2} \] \[ d = \sqrt{49 + 36} \] \[ d = \sqrt{85} \]
Now, calculate \(\sqrt{85}\):
\[ \sqrt{85} \approx 9.219544 \]
Rounding to the nearest tenth, the distance is:
\[ \boxed{9.2} \]