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Page 1: Compass Bearing (navigation) - DistrictDay4).pdf · College Pre-Calc College Textbook - "Chapter 7" 1 Section 9.5: Applications of Trigonometry to Navigation & Surveying Compass Bearing

College Pre-Calc

College Textbook - "Chapter 7" 1

Section 9.5: Applications of Trigonometry to Navigation & Surveying

Compass Bearing (navigation):

Planes and ships use to determine their course or heading

**always measure from NORTH going CLOCKWISE

N

S

EW

always written with 3 digits to measure the angle

Example: Sketch: 070o

N

S

EW

Compass Readings (surveying):always written as direction-degree-direction

Example: Sketch: N50oWN

S

EW

HINT: SW means Southwest and cuts "Quadrant 3" in half

Page 2: Compass Bearing (navigation) - DistrictDay4).pdf · College Pre-Calc College Textbook - "Chapter 7" 1 Section 9.5: Applications of Trigonometry to Navigation & Surveying Compass Bearing

College Pre-Calc

College Textbook - "Chapter 7" 2

Conversions:1 knot = 1 nautical mile per hour

Section 9.5: Applications of Trigonometry to Navigation & Surveying

1 nautical mile = 6080 feet = 2026 2/3 yards

Note: If you start solving a problem using a specific law (Law of Sines or Law of Cosines), continue using the that same law throughout the entire problem (if at all possible).

Page 3: Compass Bearing (navigation) - DistrictDay4).pdf · College Pre-Calc College Textbook - "Chapter 7" 1 Section 9.5: Applications of Trigonometry to Navigation & Surveying Compass Bearing

College Pre-Calc

College Textbook - "Chapter 7" 3

Example: Timber Falls is 8km northeast of Viper. Chester is 4km from Timber Falls on a bearing of 150o from Timber Falls. What is the bearing and distance from Chester to Viper?

Section 9.5: Applications of Trigonometry to Navigation & Surveying

Page 4: Compass Bearing (navigation) - DistrictDay4).pdf · College Pre-Calc College Textbook - "Chapter 7" 1 Section 9.5: Applications of Trigonometry to Navigation & Surveying Compass Bearing

College Pre-Calc

College Textbook - "Chapter 7" 4