Kurt wants to sail his boat from a marina to an island 15 miles east of the marina. Along the course, there are several small islands they must avoid. He sails first on a heading of 70° and then on a heading of 120° (remember that headings angle measures rotated clockwise from the north). What is the total distance he travels before reaching the island?

1 answer

If we draw a diagram and label the points in order M,A,B then
angle A is 130°
Now you can use the law of sines to find sides
m/sin20° = b/sin30° = 15/sin130°
The distance traveled is m+b