Pre Calc

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Dr. Black is standing 15 feet away from the street lamp. The lamp is making his shadow 8 feet long. The angle of elevation from the tip of the shadow to the tip of the streetlamp is 50 degrees. How tall is the streetlamp?

  • Pre Calc -

    If I am understanding this picture,
    a right triangle is formed with angle A = 50 degrees and side b = 23 (15 + 8).

    You need the length of a, which is the streetlamp.

    tan A = opp/adj = a/b = a/23
    tan 50 = a/23
    1.19 = a/23

    Solve for a, for your answer

  • Pre Calc -

    27.37

  • Pre Calc -

    20

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