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A hill in Colorado makes an angle of 15.0° with the horizontal and has a building at the top. At a point
75.0 feet down the hill from the base of the building, the angle of elevation to the top of the building is
55.0°. What is the height of the building?

A. 84.0 feet
B. 179 feet
C. 31.3 feet
D. 126 feet

  • Trigonometry -

    You will need to draw a diagram of the objects, and be familiar with the trigonometric ratios.

    Measuring everything from the point 75' down, the height of the base of the building is
    B=75 sin(15°)

    The horizontal distance from the base is

    The top of the building is

    The height of the building is the difference between the top and bottom, or

    The height as calculated above should agree with one of the four choices.

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