Respuesta :

The value of x "option A) 12.5" is required answer.

Step-by-step explanation:

In given figure,

Base (b) = 11 and Angle = 28°

To find, the value of x = ?

We know that,

[tex]\cos A=\dfrac{b}{h}[/tex]

Where, h is the hypotaneous = x

⇒ [tex]\cos 28=\dfrac{11}{x}[/tex]

⇒ [tex]x=\dfrac{11}{\cos 28}[/tex]

The value of [tex]\cos 28[/tex] = 0.8829

⇒ x = [tex]\dfrac{11}{0.8829}[/tex]

⇒ x = 12.458

⇒ x ≈ 12.5

∴ The value of x ≈ 12.5

Thus, the value of x "option A) 12.5" is required answer.