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Consortium for Mathematics and its Applications

Product ID: 99562
Supplementary Print
Undergraduate
High School

Finding the Shortest Distance on the Earth's Surface from Here to Timbuktu (UMAP)

Author: Paul R. Patten


A unit that involves pre-calculus in finding the shortest distance on the Earth's surface from here to Timbuktu. This module allows students to use the spherical law of cosines to find great circle distance between points whose geographic coordinates are given.

Table of Contents:

1. INTRODUCTION

2. THE SHORTEST DISTANCE ON THE EARTH'S SURFACE

3. THREE-DIMENSIONAL COORDINATE SYSTEMS

4. THE LAW OF COSINES

5. ANSWERS TO SOME EXERCISES

©1986 by COMAP, Inc.
UMAP Module
17 pages

Mathematics Topics:

Geometry , Precalculus & Trigonometry

Application Areas:

Social Studies , Geography

Prerequisites:

Right triangle trigonometry; half-angle formulas; geographic coordinates

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