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Navigation.notebook
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November 22, 2013
navigation: law of sines and cosines application
Ch.6 Lesson 5
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Target
Agenda
Purpose
Agenda
Purpose
Evaluation
TSWBAT: find the bearing of a plane or ship by using law of sines and cosines, as well as their understanding of reference angles
Warm-Up/Homework Check
Lesson: Navigation Applications
BAT: solve for any info for any triangle, apply what you know to different things, understand past things better, Do well on the test and final!
3-2-1
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Warm-Up:
1. Solve the triangle
30
45103o
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Navigation: What is a Bearing?Bearing: the direction you are headed, made by the acute (reference) angle from the North or South (vertical axisnot xaxis)
55o
Make up a bearing, and have your elbow partner draw it.
The Set up:
Vert. dir. (N or S) Angleo Hori. dir. (E or W)
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Navigation Examples pg. 515 #43
1. A fisherman leaves his home port and heads in the direction N 70o W. He travels 30 mi and reaches Egg Island. The next day he sails N 10o E for 50 mi, reaching Forrest Island.
a. find the distance between the fisherman's home port and Forrest Island.
b. Find the bearing from Forrest island back tohis home port.
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Navigation Examples2. The bearing of the plane is N 20o E and the plane travels 200 miles, but there was a wind factor bearing N 40o E which for another 100 miles where the plane has to land.
A. How far away is the plane from where it took off?
B. What was the real bearing of the plane due to the wind?
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Navigation Examples
2. The bearing of the plane is due West and the bearing of the wind is 225o, the redrawing of the figure as a triangle, using the tail‐p rule, the length
(ground speed of the plane), is seen below. What is the bearing of the plane because of the wind factor? Ans: S 85.46o W
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Navigation Examples3. A plane flies at 300 miles per hour. There is a wind blowing out of the
southeast at 86 miles per hour with a bearing of N 40o W.
a. At what bearing must the plane head in order to have a true bearing of N 14o E?
Ans: N 27.4o E
b. What will be the plane’s ground speed? Ans: 342.3 mph
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SummarizingTIME!
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Evaluation:1.
2.
Practice!
Worksheet
Draw a picture of the bearing S 36o W
Draw a diagram for heading N 30o E for a 150 miles, and then S 16o E for 400 miles.
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