Question

A boat leaves the entrance to a harbor and travels 100 miles on a bearing of N 58° E . How many miles north and how many miles east from the harbor has the boat​ traveled?

Answer 1

Miles traveled east: 99.29

Miles traveled north: 55.14

Explanation:

You can see the attached image if you want a visual.

To find miles traveled east:

sin(58°)=x/100

100*sin(58°)=x

x=99.29 miles

To find miles traveled north:

58°+90°=148°

180°-148°=32°, angle y=32°

sin(32°)=y/100

100*sin(32°)=y

y=55.14 miles