Posted by **Lauren** on Sunday, July 15, 2012 at 11:34pm.

A tree one hundred cubits high is distant from a well two hundred cubits; from this tree one monkey climbs dow the tree and goes to the well, but the other leaps in the air and descends by the hypotenuse from the high point of the leap, and both pass over an equal space. Find the height of the leap.

- Math -
**Steve**, Monday, July 16, 2012 at 10:55am
I assume you mean the monkey leaped straight up. Ignoring the fact that free-fall trajectories are parabolas, and not straight lines, we have

x = height of leap

300 = hypotenuse

(because the distance down the tree and over to the well is 300)

√(200^2 + (100+x)^2) = 300

x = 100(√5 - 1) = 123 cubits.

That's some leap!!

## Answer This Question

## Related Questions

- Physics - Two trees have perfectly straight trunks and are both growing ...
- PHYSICS - A MONKEY CLIMBED TO THE TOP OF A TREE. THE TREE IS 40 METERS HIGH AND ...
- Physics - Two trees have perfectly straight trunks and are both growing ...
- PHYSICS - Two trees have perfectly straight trunks and are both growing ...
- calculus - A hunter at a distance dx from a coconut tree points the nuzzle of ...
- physics - A hunter at a distance dx from a coconut tree points the nuzzle of his...
- iworo ajido - a tree is on one side of a river two point p and q 15metre apart ...
- math - the sum of the ages of three redwood trees is exactly one thousand years...
- maths - a river is 60 metre wide . a tree of unknown height is one bank.the ...
- math - From 70 feet away from the base of a tree on level ground, the angle to ...

More Related Questions