Three Tapers and a Length
Date: 8/25/95 at 21:7:27 From: Anonymous Subject: Three tapers and a length Dr. Math, I am a reasonably young guy but I have never had much schooling in geometry. I have a problem and I was wondering if it could be figured out. I have three tapers (or angles) that intersect with each other. I will attempt to make a drawing here: X* * * *A * * * D *B * O *Y The angle from X to A is 30 deg The angle from A to B is 40 deg The angle from B to Y is 50 deg Theoretically, if I were given the total length from O to Y and the total height O to X and of course the three angles, is it possible to calculate each angle's length and height? In other words like the length B to D and the height D to A. I feel like I would need more information to calculate these values but I am not sure. Any ideas? Larry
Date: 8/27/95 at 15:9:23 From: Doctor Ken Subject: Re: Three tapers and a length Hello! No, I'm afraid there isn't one definite solution to this problem. In fact, A and B could be at lots and lots of different places. I've made a sketch using The Geomteter's Sketchpad, and it's sitting at http://mathforum.org/dr.math/sketches/tapers.gsp If you don't have a copy of the program, you can download a demo copy of it which will let you view the sketch. You can do the downloading from http://mathforum.org/dynamic.html . Good luck! - Doctor Ken, The Geometry Forum
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