Question

Two ships leave a harbor together, traveling on courses that have an angle of 135° between them. If one ship travels 402 miles and the other ship travels 500 miles, how far apart are the ships? __________

What is the area of water between the ships and the harbor? ____________

Answer 1

use the law of cosines to find the distance: c^2 = a^2+b^2-2ab cosC
Then the area is 1/2 ab sinC