#### Answer

BC = 6.3, AB=10.2

#### Work Step by Step

$tan 52 = AC/BC$
$1.28 = 8/BC$
$1.28*BC = 8/BC*BC$
$1.28*BC = 8$
$1.28*BC/1.28 = 8/1.28$
$BC = 6.25$
$AC^2 + BC^2 = AB^2$
$8^2 + 6.3^2 = AB^2$
$64 + 39.69 = AB^2$
$103.69 = AB^2$
$\sqrt {103.69} = \sqrt{AB^2}$
$10.2 = AB$