Answer:
AC ≈ 4.7 ft.
Step-by-step explanation:
GIVEN :-
- Length of AB = 5 ft
- Length of AC = x ft
- ∠A = 20°
TO FIND :-
FACTS TO KNOW BEFORE SOLVING :-
[tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex]
SOLUTION :-
Side adjacent to ∠A = AC = x
Hypotenuse = AB = 5 ft
⇒ [tex]\cos 20 = \frac{x}{5}[/tex]
⇒ [tex]0.9396.... = \frac{x}{5}[/tex]
⇒ [tex]x = (0.9396...) \times 5 = 4.6984....[/tex] ≈ 4.7 ft
