In order to solve this, we can use trigonometric ratios. The cosine ratio is given by the following formula:
[tex]\cos \theta=\frac{ca}{hy}[/tex]
Where ca is the adjacent leg to angle θ and hy is the length of the hypotenuse. In this case, θ=50°, ca = 6 and hy = x.
By replacing these values into the above formula, we get:
[tex]\cos 50=\frac{6}{x}[/tex]
From this equation, we can solve for x to get:
[tex]x=\frac{6}{\cos 50}=9.3[/tex]
Then, x = 9.3
