Answer
The speed of the wind is 10 mph.
Work Step by Step
$v = 6~i+8~j$
The speed of the wind is the magnitude of the vector $v$. We can find the magnitude of the vector $v$:
$\vert v \vert = \sqrt{6^2+8^2}$
$\vert v \vert = 10$
The speed of the wind is 10 mph.