Given:
Angle = 44 degrees.
Adjacent side = 6 units.
Hypoteuse side = x units
Recall the formula for cosine,
[tex]\cos \theta=\frac{Adjacent\text{ side}}{\text{Hypoteuse side}}[/tex]Substitute Adjacent side = 6 units, Hypoteuse side =x units and angle =44, we get
[tex]\cos 44^o=\frac{6}{x}^{}[/tex][tex]\text{ Use }\cos 44^o=0.719.[/tex][tex]0.179=\frac{6}{x}^{}[/tex][tex]x=\frac{6}{0.179}[/tex][tex]x=8.34[/tex]Round off, we get
[tex]x=8.3\text{ units}[/tex]Hence the value of x is 8.3 units.