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Objectives:
1. Use trig to solve navigation and
surveying problems.
“Course” of a Ship/Plane
ď‚—The course of a ship or plane is the
angle measured clockwise from north
to the direction of travel.
Compass Bearings
ď‚—The compass bearing of one
location from another is measured
the same way.
ď‚—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:
ď‚—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!
ď‚—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 ď‚—The course of a ship or plane is the angle measured clockwise from north to the direction of travel.
  • 3. Compass Bearings ď‚—The compass bearing of one location from another is measured the same way. ď‚—Bearings are given with 3 digits: ď‚—Ex: 060° rather than 60°
  • 4. Example 1: ď‚—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: ď‚—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! ď‚—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.