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Consortium for Mathematics and its Applications

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Resource Type: Contest Problem
Primary Level: High School

Ski Slope

Author: COMAP


Background:

Winter is coming! In February 2018, PyeongChang, South Korea will host the Winter Olympics. And, in 2022, Beijing, China will be the host city. The Winter Olympics have over fifty ski related events in the disciplines of Alpine, Nordic, Cross-Country, Ski Jumping, Snowboarding, and Freestyle.

A group of wealthy winter sport fans are looking for a new mountain to develop into a ski resort that could perhaps host the Winter Olympics in the future. An agent, calling herself Ms. Mogul, represents them. 

Wasatch Peaks Ranch in Peterson, Utah, USA is for sale! This almost 13,000 acre ranch has an estimated 5,500 acres of potential ski slopes with an 11 mile ridgeline, a 4750 foot drop among its 24 peaks, and 15 bowls. Ms. Mogul wants your team to identify potential ski slopes and trails on the property in order to develop it as one of the top ski resorts in North America and a potential future Winter Olympics location.

Problem Download

©2017 by COMAP, Inc.
HiMCM Problem
Commentary: Yes (1) | Student Papers: Yes (2)

Mathematics Topics:

Math Modeling

Application Areas:

Sports & Recreation , Contest Preparation

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