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a window in one building, the angle of elevation to the top of a second, taller building is 38°. The angle of depression to the base of the taller building is 51°. Determine the height of the second, taller building to the nearest metre if the two buildings are 42m apart.

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  1. A sketch really really helps.
    On mine I drew a horizontal from the window to the taller building and
    got 2 right-angled triangles
    from there:
    tan 51 = (height from base to window)/42
    tan 38° = (height above window)/42

    solve for "height from base to window" and (height above window)
    then add them up

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