can someone please answer this for me

Answer:
BC = 1.7
Step-by-step explanation:
Since, cosine of any angle (except right angle) represents the ratio of base length and hypotenuse.
Cosθ = [tex]\frac{\text{Base}}{\text{Hypotenuse}}[/tex]
From the given right triangle ΔACB,
[tex]\text{Cos}(\angle B) = \frac{\text{Base}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{BC}{AB}[/tex]
Cos(70°) [tex]=\frac{BC}{5}[/tex]
BC = 5Cos(70°)
= 1.71
≈ 1.7