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28 January, 20:13

Ryan wanted to know the height of a cell-phone tower neighboring his property he walked 80 feet from the base of the tower and measured the angle of elevation to the top of the tower at 54 degrees if Ryan is 5 feet tall what is the height of the cell-phone tower?

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  1. 28 January, 22:02
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    Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.

    Since the given is 54 degrees.

    Tan 54degrees = x/80 (feet)

    x=80 (tan54)

    x=110

    To finalize the answer, we will add up the height of the cell-phone tower to the answer.

    110 + 5 = 115 feet

    So the answer to the question is that the height of the cell-phone tower is 115 ft.
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