Slippery slope

Slippery slope

You have been commissioned to investigate the feasibility of a new ski-lift. You are required to give a presentation to the local organising committee with the details of your assessment.

Use this diagram, possibly annotated, in your presentation. Your spreadsheet from task 1 may be useful in completing this presentation.

The initial plans for the ski-lift include:

  1. A docking station at the resort which is 80m above sea level.

  2. A cable to a docking station on a hill that is 240m above sea level.

  3. Another docking station on the other side of the resort that is 140m above sea level.

  4. As an intermediate ski-lift the gradient of each section must be between 0.24 and 0.30.

  5. Cable sections longer than 400m are required to have a stabilising tower in place.

  6. There is a maximum of 2000m of cable available for the construction.

Be sure that your assessment includes details about:

  1. Any assumptions you have made and other aspects that you have considered.

  2. The gradient of each section (show calculations).

  3. The distance of each section (show calculations).

  4. The position and height of any stabilising tower (explain with calculations).