Math

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The angle of elevation on the top of a radio tower is 7.5° from the ground at a distance of 1.5 miles from the base of the tower find the height of the tower.

My answer : 2.71 miles

  • Math -

    Didn't a height of 2.71 miles for a tower seem totally illogical to you?

    height/1.5 = tan 7.5°
    height = 1.5tan7.5
    = .1975... miles
    = (.1975...)(5280) ft
    = 1042.7 ft

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