Question

Fill in the missing values and/or information.

Use this pic below.

Problem: Larry and Maria have secured permission to hike cross country from the rangers. They have also secured permission to camp on the shore of Small Lake. The ranger station also provides a trail map. Larry and Maria notice the scale of the map is 1 inch = 0.5 mile. They draw a line due North on the map and draw another line to a point on the shore of Small Lake where they want to camp. How do they determine the direction they should travel and the distance they need to travel to reach this spot?

Solution: Larry and Maria use a ruler to determine the distance between the starting point and the campsite. The measure is 8.5 inches. They set up the equation 1: ___ = 8.5:d. Thus, 8.5 inches on this map represents ___ miles.

To determine the direction of travel, Larry and Maria use a ___ that has a needle and a fixed arrow in a housing marked in ___ like a protractor. (From other math courses you should remember a protractor is an instrument in the shape of a semicircle marked to measure angles from 0o to 180o.) Because North provides a ___ direction, Larry and Maria can use a compass to determine the ___ which represents the direction in which they should travel. The figure shows how they measured the angle of travel at ___ degrees.

Answer 1

0.5

4.25

compass

degrees

fixed

angle

310

Explanation:

I checked after I completed and it said this was the right answer.

Answer 2

1. 1:0.5 = 8.5:d

2. d = 0.5·8.5 = 4.25

3. compass . . . . the name of the tool/instrument

4. degrees . . . . the graduations on a typical protractor

5. reference . . . . It helps to be a little familiar with navigation terms

6. bearing

7. 310 . . . . the number in the picture

_____

If you have not had any exposure to navigation terms or methods, orienteering, map orientation, map reading, or any similar activity, it would be difficult to answer these questions appropriately. Hopefully, your text explains this in some detail. It is helpful to get a map and compass and do some navigation yourself in order to see how this works. Boy/Girl Scouts used to do activities of this sort.