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anonymous

  • 4 years ago

From a point on the ground 144 ft. from the base of a building, the angle of elevation to the top of the building is 23.5°. How tall is the building?

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  1. amistre64
    • 4 years ago
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    how level is the ground?

  2. amistre64
    • 4 years ago
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    |dw:1328632929302:dw|

  3. anonymous
    • 4 years ago
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    it's trig so I am guessing a level plane which would mean it has a 90° angle at C.

  4. amistre64
    • 4 years ago
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    then tangent helps

  5. amistre64
    • 4 years ago
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    tan(t) = h/d d tan(t) = h

  6. anonymous
    • 4 years ago
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    Make a triangle out of the problem. Your horizontal leg is 144ft. Your vertical leg will be x because that is what you want to find. Your angle will be in between your horizontal leg and hypotenuse. Now it is time to pick a trig function that will answer your question... Tangent is opp/adj so it will incorporate what you need. Your equation is now tan23.5 = x/144. Now solve for x. .4348 = x/144 x is approximately 62.6

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