From a window, the angle of elevation of the top of a flagpole is 25, and the angle of depression of the base?

From a window, the angle of elevation of the top of a flagpole is 25, and the angle of depression of the base of the flagpole is 12. How high is the flagpole if the window is in a building at a distance of 185 feet from the flagpole

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  • 7 years ago
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    Draw the diagram. Perpendicular to the window is the line that is 185 in length.

    When you look up at 25o you get the top of the flagpole.

    When you look down at 12o, you get the bottom of the flagpole.

    Now the top part of the flagpole is x

    Tan(25o) = x/185

    x = 185 * tan(25)

    x = 185 * 0.4556

    x = 86.27

    Now to the bottom half of the flagpole.

    tan(12) = y / 185

    y = 185 * tan(12)

    y = 185 * 0.2126

    y = 39.32

    The height of the flagpole = 39.32 + 86.27 = 125.59 feet.

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