Answer:
AB = 8.39 inches
AC = 13.1 inches
(corrected to 3 significant figures.)
Explanation:
In a right triangle, AB is the opposite side; BC is the adjacent side, and AC is the hypotenuse side.
since tanθ = opposite / adjacent,
we can use this to find side AB.
tan40° = AB / 10
AB = 8.39 in. (corrected to 3 significant figures.)
since cosθ = adjacent / hypotenuse
we can use this to find AC.
cos40° = 10 / AC
AC = 13.1 in. (corrected to 3 significant figures.)