AC = 2.87
Solution:
Given AB = 5
To find the length of AC:
The given triangle is a right triangle.
So we can use trigonometric formula.
[tex]$\sin \theta=\frac{\text { Opposite }}{\text { Hypotenuse }}[/tex]
[tex]$\Rightarrow \sin B=\frac{A C}{AB }[/tex]
[tex]$\Rightarrow \sin 35^\circ=\frac{AC}{5 }[/tex]
[tex]$\Rightarrow \sin 35^\circ\times 5=AC[/tex]
[tex]$\Rightarrow 0.573\times 5=AC[/tex]
[tex]$\Rightarrow 2.865=AC[/tex]
⇒ AC = 2.87
Hence the length of AC = 2.87.
