math (precalc)
posted by Erin on .
Point S is 4 km west of point R, and point T is 4 km southwest of S. Find the bearing and distance from R to T.
(If possible, show diagrams too, please! Thanks in advance.)

T is 4/√2 km west and 4/√2 km south of S.
So, T is 4+4/√2 = 6.83 km west and 4/√2 = 2.83 km south of R.
Or, if you think of R as (0,0), T is (6.83,2.83)
arctan 2.83/6.83 = 22.49°
So, the bearing from R to T is W22.5°S