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math (precalc)

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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.)

  • math (precalc) -

    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

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