On a map, point C is 4.3 km due east of point B, while point B is 2.7 km on a true bearing of 143° from A. How far is east point C from A? How far is south point C from A?

Answer 1

6.46 km and 1.62 km

It helps to sketch the points

180-143 = 37 degrees

BA distance = 2.7 is the hypotenuse of a right triangle with 37 degrees. Find the other two sides, the opposite side will be the distance C is south from A, the adjacent side will be the distance C is east of A if you add the 4.3

sin37 is about .6 cos37 is close to .8

.6(2.7) = 1.62 km That's the distance how far south of A that C is

.8(2.7) = 2.16 is the distance B is east of A, add 4.3 to get 6.46 km, the distance C is east of A