Math (Triangles - (Angle of Elevation)

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A television antenna is situated atop a hill. From a point 200 m from the base of the hill, the angle of elevation of the top of the antenna is 80°. The angle of elevation of the antenna from the same point is 75°. How tall is the antenna?

  • Math (Triangles - (Angle of Elevation) -

    if the hill has height h and the antenna has height a,

    h/200 = tan 75°
    (h+a)/200 = tan 80°

    eliminate h, and then solve for a

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