It is impossible to measure the length of a particular swamp directly. (Snapping turtles!!) Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805 m. She measured the angle between the distances to be 57°. What is the length of the swamp?

1 answer

law of cosines:

c^2=a^2+b^2 -2ab*cosTheta