SOLUTION: A ski-lift that runs to the top of a hill has a rise to run ratio of 4/5. The horizontal distance from the bottom of the lift to the center of the mountain is 6000 ft. How high is

Algebra ->  Proportions  -> Lessons -> SOLUTION: A ski-lift that runs to the top of a hill has a rise to run ratio of 4/5. The horizontal distance from the bottom of the lift to the center of the mountain is 6000 ft. How high is       Log On


   

Question 214920: A ski-lift that runs to the top of a hill has a rise to run ratio of 4/5. The horizontal distance from the bottom of the lift to the center of the mountain is 6000 ft. How high is the hill? If necessary, round your answer to the nearest tenth of a foot and label it ft..
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You're missing the rise to run ratio. Please repost with full problem.


Edit:

Since the rise to run ratio is 4/5, this means that the rise is 4 while the run is 5. In other words, if you are at the ground level, and you want to move up the hill, you simply go up 4 feet while walking toward the hill 5 feet. Visually, this is shown as going up 4 units and going 5 units to the right.


Because we know that the "distance from the bottom of the lift to the center of the mountain is 6000 ft", we can set up the proportion: 4%2F5=x%2F6000 (where 'x' is the height of the mountain)



4%2F5=x%2F6000 Start with the given equation.


%284%2F5%29%2A6000=x Multiply both sides by 6000


24000%2F5=x Multiply


4800=x Simplify


So the answer is x=4800


This means that the height of the hill is 4,800 feet.