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Math Help - trig word problem

  1. #1
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    trig word problem

    An airplane, flying at an altitude of y = 4.7 miles, is on a flight path that passes directly over an observer (see figure). If θ is the angle of elevation from the observer to the plane, find the distance from the observer to the plane for each value of θ.

    theta = 30 degrees

    I just want to know if this is the right way to solve this problem:

    sin(30 deg) = 4.7/x

    x = 1/2

    4.7/(1/2) 9.4 miles

    Thanks
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  2. #2
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    your solution is correct, you were just a little sloppy with your work ...

    sin(30 deg) = 4.7/x

    x = 1/2 I think you meant sin(30) = 1/2

    4.7/(1/2) = 9.4 miles
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  3. #3
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    Angles of Elevation and Depression

    For a great visual explanation of similar examples, check out Mathematics.com.au - Angles Of Elevation && Depression

    The lesson is fully narrated as well so is very easy to understand.
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