Batman is trying to find Aquaman because the because the bad guys won't stop being mean. He sails on a boat traveling 85 miles at a heading of LaTeX: N42^\circ EN 42 ∘ E from a port. How far north and how far east is Batman from the port?

Batman's distance far East is 57 miles.Batman's distance far North is 63 miles.

Step-by-step explanation:

In the diagram, from the port A, he travels to Port B.

Batman's distance far North is the distance from B to C.Batman's distance far East is the distance from A to C.

Using Trigonometric ratios

Similarly

Therefore:

Batman's distance far East is 57 miles.Batman's distance far North is 63 miles.