Skip to main content

Active Calculus - Multivariable

Activity 11.1.5.
Use the topographical map of the Porcupine Mountains below to answer the following questions. Note that points of interest are sometimes marked with an X and have their elevation listed.
A topographical map of the Porcupine Mountains
A map with many curves indicating locations of constant elevation. There are also some waterways and points of interest marked on the map.
(a)
Identify the highest and lowest points you can find.
(b)
Describe how your elevation would change if you walked in a straight line from the lowest to the highest elevation points. You may want to sketch a plot of the elevation along your path.
(c)
If you walk along the Big Carp River Trail (in the top left part of the image), describe which parts of the trail will have steep increases in elevation and which parts you think will be the most like level ground.