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.