A ten meter pole and a forty meter pole are placed fifty meters apart on flat ground. Two nonsagging ropes join the top of one pole to the bottom of the other pole and vice versa. Calculate the height from the ground of the point of intersection of the ropes.
This problem definitely needs a diagram!
The next thing you need to do is figure out how much each rope "goes
down"
for every meter (or 5 meters, or 10 meters) of distance it traverses
between
the poles.
Drawing the diagram to scale on a piece of graph paper will
definitely
help!
As always, be sure to explain the
work you did to arrive
at your answers!