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Math Help - Surveying Property (Law of Sines)

  1. #1
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    Surveying Property (Law of Sines)

    A surveyor locating the corners of a triangular piece of property started at one corner
    and walked 480ft in the direction N36W to reach the next corner.
    The surveyor turned and walked S21W to get to the next corner of the property.
    Finally, the surveyor walked in the direction N82E to get back to the starting point.
    What is the perimeter of this piece of property to the nearest foot?

    can someone help me sketch out this? I tried by myself but always end up with the wrong answer.
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  2. #2
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    Re: Surveying Property (Law of Sines)

    Quote Originally Posted by Seigi View Post
    can someone help me sketch out this? I tried by myself but always end up with the wrong answer.
    Can you show us what you've tried?
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    Re: Surveying Property (Law of Sines)

    Quote Originally Posted by Prove It View Post
    Can you show us what you've tried?
    sure.

    when i first read the problem, i sketched the triangle base on a regular law of sines one.
    It says the 36 degree is on North west and I put it in that direction in the triangle, same goes with the other two.
    Then did the math, and since it asked for the perimeter I added all 3 sides after
    i used law of sines to find the sides. Basically I got a really big answer, (the answer is 1425 ft).

    Surveying Property (Law of Sines)-firstsol.png


    later found out about bearing and did this
    Surveying Property (Law of Sines)-secondsol.png
    I tried to make sense of it, but the wording really confuses me
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  4. #4
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    Re: Surveying Property (Law of Sines)

    Quote Originally Posted by Seigi View Post
    sure.

    when i first read the problem, i sketched the triangle base on a regular law of sines one.
    It says the 36 degree is on North west and I put it in that direction in the triangle, same goes with the other two.
    Then did the math, and since it asked for the perimeter I added all 3 sides after
    i used law of sines to find the sides. Basically I got a really big answer, (the answer is 1425 ft).

    Click image for larger version. 

Name:	firstsol.png 
Views:	3 
Size:	5.9 KB 
ID:	23684


    later found out about bearing and did this
    Click image for larger version. 

Name:	secondsol.png 
Views:	4 
Size:	14.0 KB 
ID:	23685
    I tried to make sense of it, but the wording really confuses me
    Your latest picture is also incorrect. Each bearing is measured from the point that you are at, not from the starting point. So your sketch should look like this...

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