Trig

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The angle of elevation to the top of a building from a point on the ground is 39 degrees. From a point 50 feet closer to the building, the angle of elevation is 48 degrees. What is the height of the building?

  • Trig -

    draw the figure. You have two triangles. let x be the distance to the closer point, from the building.


    Tan48=h/x

    Tan39=h/(x+50)


    or
    x=h/tan48 and
    x=h/tan39 -50

    set them equal, and solve for h.

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