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19 January, 23:50

Jessica stands 150 feet from the base of a tall building. She measures the angle from her eye to the top of the building to be 84. If her eye level is 5 feet above the ground, how tall is the building

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  1. 20 January, 02:00
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    The datum level of this problem would be Jessica's eye level. If you visualize the diagram, it would create a right triangle. The base would be 150 feet and the opposite angle of the height is 84 degrees.

    Using the tangent function:

    tan84 = opposite side/adjacent side = h/150

    h = 150*tan84

    h = 1427.15 feet

    The total height would be added with 5 since the height of the building must obviously start from the ground, not eye level.

    h = 5 + 1427.15

    h = 1432.15 ft
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