Posted by **CJ** on Sunday, September 19, 2010 at 2:19pm.

A deep mountain valley is separated by two vertical cliffs. One cliff is 600 meters high and the other is 400 meters high. A cable car runs from the foot of each cliff to the top of the other cliff. At what height above the ground do the two cable cars cross? Be sure to draw a diagram.

- physics -
**Damon**, Sunday, September 19, 2010 at 2:54pm
height h

I assume cables are straight

660 on left, 400 on right

distance x on left, y on right from cross point to cliff on ground

x/h = (x+y)/400

y/h = (x+y)/600

h = 400 x/(x+y)

h = 600 y/(x+y)

so 400 x = 600 y

x = 1.5 y

total distance = 2.5 y

2.5 y/600 = y/h

2.5 h = 600

h = 240

## Answer this Question

## Related Questions

- Physics/math - A deep mountain valley is separated by two vertical cliffs. One ...
- physics - If a car is traveling at a constant speed of 15 meters per second, ...
- physics - A boy sitting on the edge of a vertical cliff fires a rock with a ...
- physics - A boy sitting on the edge of a vertical cliff fires a rock with a ...
- physics - a gazelle was running at 14m/s does not see the high cliff aheadthe ...
- Science - Ok so I have to use kinematic equations to solve these. But I make ...
- physics - A ball is thrown horizontally from a cliff and hits the ground 4 ...
- physics - A car was seen driving off the edge of a cliff at an angle of 10.° ...
- physics - A car drove off a cliff. The cliff was 8 ft high and the car landed 45...
- Physic - A ball is thrown horizontally from a cliff at a speed of 15 m/s and ...

More Related Questions