Find the length of BC to the nearest teeth of a foot.

Determine the length of BC by using trigonometry for the angle A.
[tex]\begin{gathered} \sin 64=\frac{BC}{AB} \\ 0.899=\frac{x}{2.7} \\ x=2.7\cdot0.899 \\ =2.4273 \\ \approx2.4 \end{gathered}[/tex]So answer is 2.4 foot.