Rescuers walking up a snowy trail

Supplemental Mapwork

In response to many of our trainees asking for additional practice mapwork we have compiled a series of supplemental problems that you can use to self-study. These example questions are similar to the type of work you will be completing during training. Each problem has the answer hidden. When you are ready to check your work simply click "Show/Hide Answer" to reveal the solution. Click again to hide it.

Unit Conversion Table

1 meter=3.28 feet
1 inch=2.54 centimeters
1 mile=5280 feet
1 kilometer=1000 meters
1 degree=60 minutes
1 minute=60 seconds

Tools

In order to complete this supplemental coursework you will need some basic tools. These items are included in the navigation kit that you will receive at Course B. However, if you have not yet received your navigation kit then these printable versions will be sufficient for now.

Pencil - Pencils are preferable because you may need to make corrections or revise your plan.

Ruler - A tenths ruler makes calculations easier than a standard ruler. Tenths Ruler PDF (download)

Protractor - A 360° protractor, clear is preferable. Protractor PDF (download)

Calculator - A basic calculator for doing simple math.

Coordinate Systems

The most common coordinate systems used in search and rescue are Latidude/Longitude and UTM. For the purposes of this supplemental coursework we will stick to these and assume the WGS-84 datum. Below is some useful information to review. There are plenty of resources available online if you want to delve into more detail or learn about other coordinate systems.

Latitude/Longitude

Coordinates in Latitude and Longitude are expressed as some combination of Degrees, Minutes, and Seconds. There are 60 minutes in a degree, and 60 seconds in a minute. You can convert between formats using simple division and multiplication. You are likely to encounter them in the following formats:

  • N47.5068° W121.7390° - Degrees Only (“Decimal Degrees”)
  • N47°30.408' W121°44.341' - Degrees and Minutes (“Degrees Decimal Minutes”)
  • N47°30'24" W121°44'20" - Degrees, Minutes, and Seconds (“Degrees Minutes Seconds”)

Universal Transverse Mercator (UTM)

Coordinates in UTM are expressed in meters and in the context of a Grid Zone. The Grid Zone is determined based on a system of “Zones” and longitudinal “Bands”. For the purposes of this coursework it is sufficient to know that ESAR's primary area of operations lies in the 10T Grid Zone. UTM coordinates describe a position within the Grid Zone as an Easting and Northing; the distance, in meters, east and north from the southwest corner of the Grid Zone:

  • 10T 0549596E 5262255N - Grid Zone, Easting, and Northing

Units of Measurement

Question

Convert 5 centimeters to inches.

Show/Hide Answer
5 cm ÷ 2.54 = 1.97 inches

Question

Convert 3.4 inches to centimeters.

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3.4 in × 2.54 = 8.64 centimeters

Question

How many kilometers is 1 mile?

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1 mile × 1.609 = 1.609 kilometers

Question

You are riding with 4x4 to your assignment location. The assignment begins 1100 meters past a forest service gate. The 4x4 driver can use their trip meter to help determine how far to drive. How many tenths of a mile should they drive?

Show/Hide Answer
approximately 7 tenths of a mile: 1100 meters ÷ 1609 = 0.68 miles = 6.8 tenths of a mile

Question

You are hiking to your assignment location. The assignment begins 2.5 miles past a forest service gate. How many kilometers will you be hiking?

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approximately 4 kilometers: 2.5 miles × 1.609 = 4.02 kilometers

Coordinate Systems

Question

How many Minutes is 54.6 Seconds?

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54.6 seconds ÷ 60 = 0.91 minutes

Question

How many Seconds is 0.70 Minutes?

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0.70 minutes × 60 = 42 seconds

Question

How many Minutes is 0.8059 Degrees?

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0.8059 degrees × 60 = 48.354 minutes

Question

Convert N47.4880° W121.7232° to Degrees Decimal Minutes.

Show/Hide Answer
Convert the Decimal Degrees to Minutes:
Latitude: .4880 degrees × 60 = 29.28 minutes
Longitude: .7232 degrees × 60 = 43.392 minutes
N47°29.280' W121°43.392'

Question

Convert N47°32'28.1" W122°10'28.2" to Decimal Degress.

Show/Hide Answer
Convert the Minutes and Seconds to Decimal Degrees:
Latitude: 32 minutes + (28.1 seconds ÷ 60) = 32.4683 minutes; 32.4683 minutes ÷ 60 = 0.5411 degrees
Longitude: 10 minutes + (28.2 seconds ÷ 60) = 10.4700 minutes; 10.4700 minutes ÷ 60 = 0.1745 degrees
N47.5411° W122.1745°

Pacing

Pacing is a method to keep track of distance. A pace is the distance that you travel while walking each time the same foot hits the ground. For example, if you lead (take your first step) with your left foot, then you will count a pace each time your right foot touches the ground. For the purposes of ESAR Basic Training we generally refer to pace in terms of feet.

Example of a single pace

To determine your pace you can measure out a known distance (for example 1000 feet) and walk that distance counting your paces. Then divide the distance by the number of paces to get your pace length. For example if you walked 1000 feet in 200 paces then your pace length is 5 feet per pace. You can use this information to estimate distances while navigating.

Question

Joe is calculating his pace. If he walks 1000 feet in 196 paces, what is the length of his pace?

Show/Hide Answer
1000 feet ÷ 196 paces = approximately 5.1 feet per pace

Question

Susan's pace is 4.5 feet. If she needs to travel 1140 feet how many paces does she need to take?

Show/Hide Answer
1140 feet ÷ 4.5 feet per pace = approximately 253

Question

Michael's pace is 4.8 feet. If he needs to travel 235 meters how many paces does he need to take?

Show/Hide Answer
235 meters × 3.28 feet per meter = 770.8 feet
770.8 feet ÷ 4.8 feet per pace = approximately 161 paces

Question

Megan and Zoe have partnered for a compass run. Megan's pace is 4.7 feet and Zoe's pace is 5.25 feet. During the compass run both Megan and Zoe were counting their paces, but Zoe forgot what her count was. They stop to confer. Megan has counted 57 paces so far. If Zoe returns to Megan's position, what should her current pace count be?

Show/Hide Answer
Megan's distance: 57 paces × 4.7 feet per pace = 267.9 feet
Zoe's pace count: 267.9 feet ÷ 5.25 feet per pace = approximately 51 paces

Mapping Problems

In order to complete this set of problems you will need to print and familiarize yourself with The Map (download)

Question

Plot 10T 0619350E 5253637N

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Question

Plot 10T 0619708E 5252790N

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Question

Plot 10T 0619693E 5253869N

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Question

Plot 10T 0619083E 5253522N

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Question

Plot 10T 0619104E 5252818N

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Question

Plot 10T 0619047E 5253858N

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Question

From the intersection at 10T 0619742E 5252932N walk northbound on the road for 290m.

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Question

Follow the Dodge Ridge Chairlift uphill until you reach 3160ft elevation, then travel 355ft on a bearing of 186°

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