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16 December, 02:52

Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter

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  1. 16 December, 05:30
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    The problem says that Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:

    Tan (α) = Opposite leg/Adjacent leg

    α=30°

    Opposite leg=x

    Adjacent leg=200 feet

    When you substitute these values into the formula above (Tan (α) = Opposite leg/Adjacent leg), you have:

    Tan (α) = Opposite leg/Adjacent leg

    Tan (30°) = x/200

    You must clear "x":

    x=200xTan (30°)

    Therefore, the value of "x" is:

    x=115 feet

    How high above the ground the is the helicopter?

    The answer is: 115 feet
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