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22 April, 16:09

Question: A man standing in a field in New Hampshire sees Cannon Mountain in front of him. He knows that the height of Cannon Mountain is 4080 feet high and that he is 3 miles from the base. If he is looking at the top of the mountain through binoculars, what is his angle of elevation (in degrees) to the top?

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  1. 22 April, 19:53
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    First step is to convert the miles to feet

    1 mile = 5280 feet

    3 miles x 5280 feet = 15,840 feet.

    now both the height and distance is in feet

    the angle of elevation is found by calculating the arctan of the height / distance

    arctan (4080 / 15840) = 14.44 degrees

    round the answer if needed.
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