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Objectives:
1. Use trig to solve navigation and
surveying problems.
“Course” of a Ship/Plane
The course of a ship or plane is the
angle measured clockwise from north
to the direction of travel.
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°
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?
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?
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.

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9 5 applications to navigation and surveying

  • 1. Objectives: 1. Use trig to solve navigation and surveying problems.
  • 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. 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. 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.
  • 6. 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?
  • 7.
  • 8. 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.