What is the length of the swamp?

Question

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?

Answer 1

Let x be the length of the swamp now let's use sine 57 = opp / hypotenuse where opposite side is the length of the swamp

 

opposite side = 805 sin 57 

 

= 348.93 m

 

= 349 m if rounded up