compass bearing (navigation) - districtday4).pdf · college pre-calc college textbook -...
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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
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).
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
College Pre-Calc
College Textbook - "Chapter 7" 4