Mathematics, 09.11.2019 17:31 laleona01
By using degree measurements to represent compass directions,
you can describe the heading, or direction, in which a plane is
traveling. in this system, 0° (360°) corresponds to due north,
90° corresponds to due east, 180° corresponds to due south,
and 270° corresponds to due west.
angles are measured in a clockwise direction. this is different
from measuring angles in standard position on a coordinate
system.
with this method you can describe a flight path in terms of
distances and headings. for example, suppose a plane flies 300 mi
on a heading of 45°; then the plane changes course and flies 200 mi
on a heading of 150°.
if you could determine the angle between the two “legs” of
the trip (b), you could then use the law of cosines to find
how far the plane has traveled from its point of departure (b).
because is parallel to , b is supplementary to bad, which
is 105°. thus b = 180° – 105° = 75°. using the law of cosines,
b2 = 3002 + 2002 – 2(300)(200) cos 75°, and b = 314.6 mi.
determine the heading on which the plane would have to travel to return to point a.
1. first use the law of sines to find bac, and then add 45°.
2. add 180°, to find the return heading.
suppose a plane flies 240 mi on a heading of 35°, then the plane changes course and flies 160 mi on a heading of 160°.
3. determine the heading on which the plane would have to travel to return to its point of origin.
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By using degree measurements to represent compass directions,
you can describe the heading, or...
you can describe the heading, or...
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