# Navigation

posted by
**Jen** on
.

A fisherman leaves his home port and heads in the direction N 70 degree W. He travels 30 mi and reaches Egg Island. The next day he sails N 10 degree E for 50 mi, reaching Forrest Island.

a) Find the distance between the fisherman's home port and Forrest Island.

b) Find the bearing from Forrest Island back to his home port.

I got part (a) right. It is 62.6 miles. But I don't understand how to find the bearing. Please help. Thanks.

Compute separately the total distance travelled in the x (east) and y (north) directions. Call them X and Y

The total distance travelled is sqrt(X^2+Y^2)

The bearing (neasured east from north) is

arctan X/Y