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March 1st, 2013, 02:29 PM   #1
Doc
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Geometry problem

I am really stuck on this problem.

Q. A person plans a walking track to a tree, located at the point (20,36) on a map. The nearest road to the tree has equation
2x + 7y = 35 He draws the track to the tree from this road on the map, so that the track is as direct as possible. What is the equation of the line that he has drawn?

This is my answer: y= 2x-4

Thanks for your help
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March 1st, 2013, 04:19 PM   #2
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Re: How to solve...

Hello, Doc!

Did you make a sketch?


Quote:
A person plans a walking track to a tree, located at the point (20,36) on a map.
The nearest road to the tree has equation
He draws the track from the road to the tree so that the track is as short as possible.
What is the equation of the line that he has drawn?

Code:
      |                T
      |               o(20,36)
     Ao              *
      |   *         *
      |       *    *
      |           o
      |          P    *
      |                   *
      |                       oB
    - + - - - - - - - - - - - - -
      |












Last edited by skipjack; January 8th, 2015 at 12:26 PM.
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March 1st, 2013, 06:25 PM   #3
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Re: Geometry problem

Thanks very much! I really struggle with maths.
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January 4th, 2015, 09:18 PM   #4
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Just wanted some help with answering this past exam paper. Can you provide some solutions please and the steps involved in getting there?
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January 4th, 2015, 09:30 PM   #5
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Post a new thread containing your problem (soroban's explanation should suffice here).

Last edited by greg1313; January 4th, 2015 at 10:01 PM.
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January 5th, 2015, 12:31 AM   #6
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Math Focus: Geometry
The nearest way is the perpendicular line from tree to road.
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