Hello, musicbeat!

pickslides is absolutely correct!

A fisherman leaves his home port and heads in the direction N 70° W.

He travels 30 mi and reaches Egg Island.

he next day he sails N 10° 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. Code:

F
N o
| *
| 10° * Q
| * 50 |
| * |
E o 100° |
| * 30 |
|70° * 70°|
| * |
| o
S P

The fisherman's port is

He sails 30 miles to Egg Island

Then he sails 50 miles to Forrest Island

Draw line

Since

. . Hence: .

Using the Law of Cosines on , we have:

.

Therefore: .

Again, using the Law of Cosines:

. .

Hence: .

Then: .

The heading from to is: .