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# 9 5 applications to navigation and surveying

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### 9 5 applications to navigation and surveying

1. 1. Objectives: 1. Use trig to solve navigation and surveying problems.
2. 2. “Course” of a Ship/Plane The course of a ship or plane is the angle measured clockwise from north to the direction of travel.
3. 3. Compass Bearings The compass bearing of one location from another is measured the same way. Bearings are given with 3 digits: Ex: 060° rather than 60°
4. 4. Example 1: A ship travels on a course of 300° for 2 hours at a speed of 15 knots (1 nautical mph). Then it changes course to 230°, continuing at 15 knots for 3 more hours. At that time, how far is it from its starting point?
5. 5. Example 2: Town T is 8 km northeast of village V. City C is 4 km from T on a bearing of 150° from T. What is the bearing and distance of C from V?
6. 6. You Try! A plan flies 600 km on a course of 300°. It then flies south for a while and finally flies on a 40° course to return to its starting point. Find the total distance traveled.