Need help in math?

Question

This is the second time I've posted this question. I've already received a good answer from the first time I posted. The problem is that I forgot to say that I only have like 2 minutes for the problem. Once again.... NO CALCULATORS are allowed.
The question is below and the answer I got before is also below to help out.


There is a boy who is standing at the center of a circular field that had a radius of 135 feet. He walks due north halfway to the circle. He then turns and walks due east half way to the circle. He turns again and walks due south half way to the circle. Finally he turns and walks due west half way to the circle. When he stops, how many feet is the boy from the center of the circle? Round the answer to the nearest foot.

http://answers.yahoo.com/question/index;_ylt=AnUdupkHU_6vEB1GpJU5ZgXsy6IX;_ylv=3?qid=20071106171736AAHlp7G

My previous post is in the URL above.
The best answer is there and if it helps find a way to solve the problem in 2 minutes, use it.

Read the question more carefully, he does not return back to the original spot.

Answer 1

The only way to solve this in two minutes without a calculator is to get a large sheet of graph paper So that there are emough squares to accurately measure a scaled distance of
270 feet.

Then draw a set of axes and draw a circle of with center at origin and radius = 135 units. Then measure up the y axis to the point A(0, 67. 5).

Constuct a perpendicular lineat A and let it intersect the circle at point B in the 1st quadrant

Now construct the perpendicular bisector of AB and let it intersect the circle at point C in the 4th quadrant.

Now constuct the perpendicular bisector of DC (D is midpoint of AB) and let it intersect the circle at E in the 3rd quadrant. Let F be the midpoint of DC.
Now construct the midpoint of FE and call it G.

Now use your scale to measure the distance from G to the origin.

If you have done your constructions carefully, I believe you can do this in 2 minutes and get an answer whose accuracy might surprise you.

You will require a compass at a minimum.

Answer 2

0 feet away!!! think of it, north, east, south, west. BTW.- i timed myself it took me 2min 12sec to figure it out. its like a brain teaser.

Answer 3

he returns to his original spot...so he is 0 ft frm the centre...i sspose.