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Math Help - diagonal finder

  1. #1
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    Thumbs down diagonal finder

    An aeroplane reaches a height of 1500m after travelling a distance overland of 12 km. what is the distance covered by the plane in km?
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  2. #2
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    Are you familiar with the Pythagorean Theorem?
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    reply

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  4. #4
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    Put it simply, In a right angle triangle with sides a,b, and c,  a^2 + b^2 = c^2 where c is the diagonal line (called the hypotenuse), a and b are the other two lines in the triangle that make a right angle.

    For your question, you have a vertical height and a horizontal height, which makes a right angle. The plane flew diagonally, so the path it traveled is the hypotenuse.

    It doesn't matter what order you put it in, but the distances 1500m and 12km are your values for a and b.

    Remember to convert 1500 into 1.5km first. H
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  5. #5
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    Hello,

    Here is a sketch :

    I tried to spell it just like your text did.

    You know the height and the distance overland.
    By applying the Pythagorean theorem, you should have the distance covered by the plane
    Attached Thumbnails Attached Thumbnails diagonal finder-plane.jpg  
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