math trig

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two points A and Bare 80 feetapart on the same side of A towerand on a horizontal line through its foot.if angle of elevation of the top of the tower at A is 21 degree and B is 46 degree find the height of the tower.

  • math trig -

    If B is at distance x from the tower of height h,

    h/x = tan 46°
    h/(x+80) = tan21°
    so, eliminating x, we get

    h/tan46° = h/tan21° - 80

    Now just solve for h

  • math trig -

    47.91

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