What is the value of X in the triangle below? if the answer is not an integer, leave it in simplest radical form

What is the value of X in the triangle below if the answer is not an integer leave it in simplest radical form class=

Respuesta :

Answer:

[tex]x=\frac{13\sqrt{2} }{2}[/tex]

Step-by-step explanation:

We can use the sine ratio to find the value of [tex]x[/tex].

Recall the mnemonics SOH; which  means sine is Opposite over Hypotenuse.

[tex]\sin(45\degree)=\frac{x}{13}[/tex]

This implies that;

[tex]x=13\sin(45\degree)[/tex]

[tex]x=\frac{13\sqrt{2} }{2}[/tex]