Trig

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Height of an Obelisk Two people decide to find the height of an obelisk. They position themselves 25 feet apart in line with, and on the same side of, the obelisk. If they find that the angles of elevation from the ground where they are standing to the top of the obelisk are 65 degrees and 44 degrees, how tall is the obelisk?

  • Trig -

    draw a diagram. If the height is h and the closer person is x feet from the base of the obelisk,

    h/x = tan65°
    h/(x+25) = tan44°

    h/(h cot65°+25) = tan44°
    h = 43.9 ft

    seems like a small obelisk.

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