Respuesta :

For this case we have that by definition of trigonometric relations that, the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. So:

[tex]Sin (36) = \frac {5} {x}[/tex]

Clearing x:

[tex]x = \frac {5} {sin (36)}\\x =\frac {5} {0.58778525}\\x = 8.517887564 [/tex]

Rounding off we have to:

[tex]x = 8.51[/tex]

Answer:

Option D