Math Help - Eternal Allegiance

Matt_ea · 12-13-2005, 11:32 AM

I'd really appreciate if someone could help me with these... I'm really confused.

1. On line L lies two points, M & N. Line K is parallel to line L. Find how many points are equidistant from points M & N and lines L & K. I know how to set up line L and put M & N on there but from there I don't know what to do.

2. Two trees 50 feet apart have a rope inbetween them. Two flagpoles must be placed 20 feet from the rope and equidistant from the trees. Draw the two places where the flagpoles could be place. I recreated the diargam we were given, I think the two trees are considered points so their locus would be a cirlce. We're also supposed to include the radius of each circle.

3. On a treasure map a tree and a boulder are shown. They are 35 feet apart. The treasure is burried 28 ft. from the base of the tree and 12 feet from the boulder. Mark where the treasure could be burried. Once again I think the trees are points and their locus form a circle. But, I don't really know how to show it.

ElectronicWorm · 12-13-2005, 12:27 PM

I used to be good in this in highschool.. but that was written in dutch

I might try to figure it out tomorrow when im more awake!

Birgerhar · 12-13-2005, 12:48 PM

For number 3 try it with a triangle I think. We did all this last year but I forgot alot.

ElectronicWorm · 12-13-2005, 01:12 PM

Oh I looked again and I think i know #3.

Draw a 28feet circle around the tree. Then draw a 12 feet circle around the other point. Then where the lines of the 2 circles meet.. you have the treasure point.
I think its like this.

Matt_ea · 12-13-2005, 02:37 PM

Thanks so much!

ElectronicWorm · 12-14-2005, 12:27 AM

You are welcome. I also have #2 for ya.

Two trees 50 feet apart have a rope inbetween them. Two flagpoles must be placed 20 feet from the rope and equidistant from the trees. Draw the two places where the flagpoles could be place.

Ok so the flagpoles have to be 20ft from the rope. But before you can do that, you need to find out the point on the rope from where you can measure the 20ft. This is where the trees come in. THe point has to be equidistant from the trees. Which means that the point on the rope has to be exactly in the middle. This is 25ft. From the point in the middle, you draw a 20ft line up and a 20ft line down. At the end of the line on each side, is where the flagpoles should be placed. I guess the picture makes you understand more

Edit: wait, you have to include a circle? My way is easier