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    TWO planes E and F start flying from the same point. B flies 7 km west: then turns to its left and flies 15 km. Meanwhile F flies 11 km east and turns rig
    Question

    TWO planes E and F start flying from the same point. B flies 7 km west: then turns to its left and flies 15 km. Meanwhile F flies 11 km east and turns right and flies 15 km. Where is F with respect to E?

    A.

    F is 18 km east of E

    B.

    F is 4 km west of E

    C.

    F is 18 km west of E

    D.

    F is 4 km east of E

    Correct option is A


    Let us assume a coordinate system where “east” is positive x-direction and “north” is positive y-direction:
    1. Plane E:
    · Starts at (0,0).
    · Moves 7 km west → new position is (−7,0).
    · Then “turns left” from west → left turn from heading west means going “south” if we assume standard orientation (facing west, your left is south).
    · Flying 15 km south → new position (−7,−15).
    2. Plane F:
    · Starts also at (0,0).
    · Flies 11 km east → new position (11,0).
    · Then “turns right” from heading east → a right turn from east is “south.”
    · Flies 15 km south → new position (11,−15).
    Now, the difference in x-coordinates between F and E is 11 - (-7) = 18. Their y-coordinates are both -15, so they are side-by-side along the same horizontal line, with F being 18 km to the east of E.

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