Geometry

Mike and Lani stand 21.2 meters apart. From Mike’s position, the angle of elevation to the top of the Eiffel Tower is 40°. From Lani’s position, the angle of elevation to the top of the Eiffel Tower is 38.5°. How many meters high is the Eiffel Tower? Round to the nearest meter.

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  1. A = 180-40 = 140o.
    B = 180-40-38.5 = 1.5o, b = 21.2 m.
    C = 38.5o.

    Using Law of sines:
    a/sinA = b/sinB
    a/sin140 = 21.2/sin1.5.
    Multiply both sides by sin140:
    a = 21.2*sin140/sin1.5 = 520.6 m.

    h = a*sinC = 520.6*sin38.5 = 324 m.

    We drew 2 rt triangles with a common ver. side, h. Line BC was drawn from top
    of Bldg to the end of a hor line to form
    hyp. of the larger triangle. Line BA was
    drawn from top of Bldg to a point on hor. line to form hyp. of smaller triangle. AB = 21.2 m.

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    posted by Henry
  2. post it.

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    posted by Henry
  3. h

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