Respuesta :

Answer:

x = 13.48

Step-by-step explanation:

Given that,

Angle, [tex]\theta=26^{\circ}[/tex]

base, b = x

Hypotenuse, H = 15

We need to find the measure of x. It can be solved using trigonometry i.e.

[tex]\cos\theta=\dfrac{b}{H}[/tex]

Put all the values,

[tex]\cos(26)=\dfrac{x}{15}\\\\x=15\times \cos(26)\\\\x=13.48[/tex]

So, the value of x is equal to 13.48.