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### 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

http://mathforum.org/dynamic.html   .

Good luck!

- Doctor Ken,  The Geometry Forum

```
Associated Topics:
High School Euclidean/Plane Geometry
High School Geometry
High School Practical Geometry

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