Respuesta :

Answer:

Distance between B and C is 9.6 miles.

Step-by-step explanation:

By applying tangent rule in the given right triangle ABC,

tan(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{BC}{6}[/tex]

1.60 = [tex]\frac{BC}{6}[/tex]

BC = 9.6 mi

Therefore, Distance between B and C is 9.6 miles.