Respuesta :

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

Answer:

c. 13.7

Step-by-step explanation:

  C=  180.00  −A−B=  180.00 ∘ − 20.00 ∘ − 90.00 ∘ =  70.00 ∘          

c= sin(C)⋅a  sin(A)  = sin( 70.00 ∘ )⋅5.0 sin( 20.00 ∘ )  = 13.74