You set up a right triangle with the base being 8 ft (the shadow), the height being 6 ft (his height) and you need the hypotenuse, a straight line from his actual head to his head in the shadow.
a^2 + b^2 = c^2 6^2 + 8^2 = c^2 36 + 64 = c^2 100 = c^2 take the square root of both sides 10 = c