Answer:
The value of x is 56.5 km.
Step-by-step explanation:
In a right angled triangle the cosine ratio is defined as
[tex]\cos\theta=\frac{base}{hypotenuse}=\frac{adjacent}{hypotenuse}[/tex]
From the given figure it is clear that the adjacent sides of angle 28 degree is x and the measure of hypotenuse is 64 km.
[tex]\cos(28^{\circ})=\frac{x}{64}}[/tex]
[tex]64\times \cos(28^{\circ})=x[/tex]
[tex]x=56.508645943[/tex]
[tex]x\approx 56.5[/tex]
Therefore the value of x is 56.5 km.
