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math

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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground, how far is John from the base of the tower? Round your answer to the nearest tenth.

  • math - ,

    If the height of the tower is h higher than their eyes, and John is x away from the base,

    h/x = tan 60°
    h/(x+20) = tan 40°

    Eliminating h, we get

    x*tan60° = (x+20)*tan40°

    Find x and add 1.5 to find the total height.

  • math - ,

    25.50meters

  • math - ,

    Thanks for the wrong answer

  • math - ,

    Thanks fot the wrong answer... really needed a negitave to my question...

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