Respuesta :

Answer:

11.3 Km

Step-by-step explanation:

Consider the right triangle formed by AB and West.

The acute angle WAB = 270° - 250° = 20°

and West is the adjacent side of the right triangle with AB the hypotenuse

Using the cosine ratio in the right triangle, then

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{adj}{12}[/tex]

Multiply both sides by 12

12 × cos20° = adjacent

11.2763.. = adjacent, that is

B is 11.3 Km west of A