Answer
The distance from B to C is 352 miles
Work Step by Step
The points ABC form a triangle.
We can find the angle at point A:
$A = 180^{\circ}- 64^{\circ}-82^{\circ} = 34^{\circ}$
We can find the angle at point B:
$B = 82^{\circ}- 26^{\circ} = 56^{\circ}$
We can find the angle at point C:
$C = 180^{\circ}- 34^{\circ}-56^{\circ} = 90^{\circ}$
The triangle ABC is a right triangle.
Let $c$ be the distance from A to B. We can find $c$:
$c = (350~mph)(1.8~hr) = 630~mi$
Let $a$ be the distance from B to C. We can find $a$:
$\frac{a}{c} = cos~56^{\circ}$
$a = (c)~(cos~56^{\circ})$
$a = (630~mi)~(cos~56^{\circ})$
$a = 352~mi$
The distance from B to C is 352 miles
