Hello, natbat77!
On a level plot of ground there stand two vertical posts, one 6 ft tall, the other 10 ft tall.
From the top of each pole a rope is stretched to the foot of the other pole.
How far above ground is the point where the ropes cross? Code:
* C
* |
* |
* |
* |
* |
A * * | 10
| * P * |
| * |
6 | * : * |
| * :h * |
| * : * |
B * - - - * - - - - - - - * D
a Q b
The poles are: .
The ropes and cross at .
is perpendicular to
Let
In similar right triangles .[1]
In similar right triangles .[2]
Equate [1] and [2]: .
. .