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  1. #1
    Ash
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    More indepth help.

    [QUOTE=Ash;37120]#1. A surveyor places pins at three corners of a property. The distance along one of the property is 80 feet, and the distance along the other side is 150 feet. Explain what measurement the surveyor can use to determine whether the two sides of the property are perpendicular.
    What should the measurement be?




    Could you use 80^2+ 150^2= c^2


    6400+22,500= 28,900 and the square root of 28,900 is 170

    So when they ask to "explain what measurements the surveyor can use to determine whether the two sides of the property is perpendicular? Would I answer is by writing, 80^2 + 150^2= 170?
    and also when they say "What should the measurements be" is the answer to that 80 feet, 150 feet, and 170 feet?
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  2. #2
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    [QUOTE=Ash;37168]
    Quote Originally Posted by Ash View Post
    #1. A surveyor places pins at three corners of a property. The distance along one of the property is 80 feet, and the distance along the other side is 150 feet. Explain what measurement the surveyor can use to determine whether the two sides of the property are perpendicular.
    What should the measurement be?




    Could you use 80^2+ 150^2= c^2


    6400+22,500= 28,900 and the square root of 28,900 is 170

    So when they ask to "explain what measurements the surveyor can use to determine whether the two sides of the property is perpendicular? Would I answer is by writing, 80^2 + 150^2= 170?
    and also when they say "What should the measurements be" is the answer to that 80 feet, 150 feet, and 170 feet?
    Hello,

    all your considerations and calculations are correct.

    You only should mention that the surveyor first has to take the distance between A and C. Otherwise you can't prove anything.

    EB
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  3. #3
    MHF Contributor
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    [QUOTE=Ash;37168]
    Quote Originally Posted by Ash View Post
    #1. A surveyor places pins at three corners of a property. The distance along one of the property is 80 feet, and the distance along the other side is 150 feet. Explain what measurement the surveyor can use to determine whether the two sides of the property are perpendicular.
    What should the measurement be?




    Could you use 80^2+ 150^2= c^2


    6400+22,500= 28,900 and the square root of 28,900 is 170

    So when they ask to "explain what measurements the surveyor can use to determine whether the two sides of the property is perpendicular? Would I answer is by writing, 80^2 + 150^2= 170?
    and also when they say "What should the measurements be" is the answer to that 80 feet, 150 feet, and 170 feet?
    1) The Surveyor must have his transit or theodulite or surveying instrument with him. So he measures the angle between the 80ft and 150ft sides by setting the instrument at pin B. If angle ABC is measured 90 degrees, then the two sides are perpendicular.
    So, "what should the measurement be?", the answer could be angle ABC should be 90 degrees.

    2) Or he can use the Pythagorean Theorem. As you have done, the unkown side AC must come out as 170 ft.
    So, "what should the measurement be?", the answer could be side AC should be 170 ft.
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