applications of trig to navigation and surveying 9.5

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APPLICATIONS OF TRIG TO
NAVIGATION AND SURVEYING
9.5
The course of a ship or plane is the
angle measure clockwise from due
North.
An airplane travelled on a course of 210
A ship travelled on a course of 110
Match each compass direction with a
course:
Compass Direction
Course
Southeast
225
Northwest
315
Southwest
045
Northeast
135
The Compass Reading from one
location to another is read from either
the North or South.
N70 ̊E̊
N10 ̊W
̊
S15 ̊W
̊
The bearing from A to B is 110 .
What is the bearing from B to A?
Draw the diagram:
A ship travels on a course of 2 1 0 .
Then it changes course to due North.
How far is the ship from the starting
point?
Draw the diagram:
A plane travels on a course of 320
then changes course to 200 . How far
is the plane from the original starting
point?
Ship A sights Ship B on a
bearing of 0 9 7 .
Make a sketch and give the compass
reading of Ship A from Ship B.
A plane flies 600 km on a course of
300 degrees. It then flies south for a
while and finally arrives on a 40
degree course to return to its starting
point. Find the total distance
traveled.
Town T is 8 km northeast of village V.
City C is 4km from T on a bearing of
150 degrees from T. What is the
bearing and distance of C from V?
From an iron gate, proceed 500 m
northeast to the brook, then 300 m
east along the brook to an old mill,
then 200 m S15 E to a post on the
edge of Wiggin’s Road, and finally
along Wiggin’s Road back to the iron
gate. Find the area of the region.
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