to the nearest tenth of an inch, find the length of side c, the hypotenuse

For this case we have the following trigonometric relationship:
 sine (x) = C.O / h
 Where,
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Substituting values we have:
 sine (20) = 5 / c
 Clearing c:
 c = 5 / sine (20)
 c = 14.619022
 Rounding:
 c = 14.6 in
 Answer:
 c = 14.6 in
 option 4