A ferryboat transports tourists among three islands. It sails from the first island to the second island, 4.38 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 76.5° west of north. Finally, it returns to the first island, sailing in a direction 28.0° east of south.

Question

(a) Calculate the distance between the second and third islands.

I got 5.923 km but it was wrong

(b) Calculate the distance between the first and third islands.
i got 5.55 km for this one but it is also wrong

Answer 1

sketch this out. You know on the triangle one side, three angles.
find the second side by the law of sines is my recommendation.

Be careful on the diagram to figure the INTERIOR angles of the triangle.