Question

A vessel sails 32 miles S 45 E. How far south has it sailed?

Answer 1

If there is 45 angle from the south to the east α= 45° then the distance of d=32miles is

the diagonal of the square and your question how far south has it sailed is the side of the square let's call it x.

The relation is

d = x √2 => x= d/√2 = 32/1.41 ≈ 22.69 ≈ 22.7 miles

The correct answer is 22.7 miles

Good luck!!

Answer 2

23 miles

hope this helps :)