Answer:
7.9 ft
Step-by-step explanation:
The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.
Side [tex]x[/tex] is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.
Thus, we can write:
[tex]cos(A)=\frac{adjacent}{hypotenuse}\\cos(44)=\frac{x}{11}[/tex]
Cross multiplying, we can solve for [tex]x[/tex]:
[tex]cos(44)=\frac{x}{11}\\x=cos(44)*11\\x=7.91[/tex]
Rounding to nearest tenth, we have [tex]x=7.9[/tex] ft.
