Calculating the Height of Keystone's Ski Lift

In summary, the height of Keystone's ski lift is typically calculated by measuring the vertical distance between the base of the lift and the top of the highest tower. The main factors that contribute to the height of a ski lift include the terrain, distance between lift stations, and the maximum elevation change. There are safety regulations and standards set by the American National Standards Institute (ANSI) for the height of ski lifts. The height of a ski lift can greatly impact the skiing experience, as it determines the terrain accessible and the length of the ride. The height of a ski lift can change over time due to natural erosion, maintenance, and advancements in ski technology.
  • #1
phun4kay
2
0

Homework Statement


The gondola ski lift at Keystone is 2830 m long. On average, the ski lift rises 14.6 above the horizontal. How high is the top of the ski lift relative to the house?

Homework Equations


The Attempt at a Solution


Drew the picture, did 2830cos(14.6)
but don't know what to do next.
 
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  • #2
nevermind i got it.
 

1. How is the height of Keystone's ski lift calculated?

The height of Keystone's ski lift is typically calculated by measuring the vertical distance between the base of the lift and the top of the highest tower. This can be done using a variety of methods, including GPS technology, surveying equipment, or by physically climbing the lift and measuring with a tape measure.

2. What factors contribute to the height of a ski lift?

The main factors that contribute to the height of a ski lift include the terrain, distance between lift stations, and the maximum elevation change. The terrain plays a crucial role in determining the height of the lift as it needs to accommodate for any dips or bumps in the landscape. The distance between lift stations also affects the height as the lift needs to clear any obstacles or variations in the terrain along the way. Finally, the maximum elevation change is a key factor as it determines how high the lift needs to go in order to reach the top of the mountain or slope.

3. Are there any safety regulations or standards for the height of ski lifts?

Yes, there are safety regulations and standards for the height of ski lifts. In the United States, the American National Standards Institute (ANSI) sets the standards for ski lifts, including the minimum clearance height for the lift cables and the maximum slope angle for the lift's path. These standards are regularly reviewed and updated to ensure the safety of skiers and riders.

4. How does the height of a ski lift affect the skiing experience?

The height of a ski lift can greatly impact the skiing experience. A higher lift can provide access to steeper and more challenging terrain, while a lower lift may only service beginner or intermediate runs. The height of the lift also affects the length of the ride and the amount of time spent on the lift, which can impact the overall enjoyment of the skiing experience.

5. Can the height of a ski lift change over time?

Yes, the height of a ski lift can change over time due to a variety of factors. Natural erosion or changes in the terrain can alter the height of the lift, and regular maintenance and upgrades to the lift may also result in changes to its height. Additionally, as ski technology advances, the height of lifts may need to be adjusted to accommodate for new types of skis or snowboards.

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