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Home > INT2 > Chapter 3 > Lesson 3.2.5 > Problem 3-113


Leon is standing feet from a telephone pole. As he looks up, a red-tailed hawk lands on the top of the pole. Leon’s angle of sight up to the bird is and his eyes are feet above the ground.  

  1. Draw a detailed picture of this situation. Label it with all of the given information.

    Draw Leon, the telephone pole, and the hawk.

    Draw sight and distance lines.

    Label the known distance(s) and angle(s). Label the unknown height of the telephone pole .

    The diagram shows a line to represent Leon. Some distance away, a longer line to represent the telephone pole, and the hawk on top of the pole.

    Draw sight and distance lines. Draw a line from Leon's eyes to the hawk and a line from Leon's eyes horizontally to the telephone pole. This will create a slope triangle.

    Using the diagram above, Leon's height is 5.2. His horizontal distance to the telephone pole is 60. The height of the pole is x plus Leon's height. The slope angle is 22 degrees.

  2. How tall is the pole? Show all of your work.

    Use the tangent ratio to write an equation and solve for .