Respuesta :

Sin (angle) = Opposite Leg / Hypotenuse

Sin(35) = 18 / x

x = 18 / sin(35)

x = 31.4

The answer is C.

Answer:

C. 31.4

Step-by-step explanation:

Given,

A right angled triangle in which one leg is of 18 unit,

Also, the angle opposite to that leg is of 35°,

We know that,

[tex]sin \theta =\frac{\text{Perpendicular}}{\text{Hypothesis}}[/tex]

Thus, we can write,

[tex]sin 35^{\circ}=\frac{18}{x}[/tex]

[tex]x sin 35^{\circ}=18[/tex]       ( By cross multiplication )

[tex]x = \frac{18}{sin 35^{\circ}}=31.3820423212\approx 31.4[/tex]

Hence, the value of x is approximately 31.4.

Option C is correct.