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WELCOME TO ALG. 2A
w3 mke i+ cunt
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TODAY’S AGENDA
This Week at a Glance
Return Ch. 13 Quizzes
13.5A Notes
Assignment: 13.5 Skills Practice
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THIS WEEK AT A GLANCE
Monday: 13.5A Law of Cosines
Tuesday: 13.5B Law of Cosines
Wednesday: Ch. 13A Review
Thursday: Ch. 13A Test
Friday: Begin Ch. 13B ~ Unit
Circle
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CH. 13A QUIZ
2) Write an equation involving sine, cosine, or tangent that can be used to find x. Then solve the equation, rounding to the nearest degree.
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CH. 13A QUIZ
Solve
3) Solve ∆ABC if mA = 20, mC = 90, and b = 10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.
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CH. 13A QUIZ
4) Using the Law of Sines, find the measure of angle A when c = 15, mB = 50, and b = 12.4.
A
B
C
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LESSON 13.5A
I CAN . . .
· solve problems by using Law of Cosines.
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VOCABULARY
Term Definition Example
Law of Cosines
In any ABC,
Use Law of Sines when given
_______, or _______.
SASSS
S
cA
C
a
B
b
a2 = b2 + c2 – 2bc cos A
b2 = a2 + c2 – 2ac cos B
c2 = a2 + b2 – 2ab cos C
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EXAMPLE 1:
In ABC, find c.
Cabbac cos2222
2c 22 1210 48cos
2c 4.83
12102
1.9c
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EXAMPLE 2:
In ABC, find r.
Cabbac cos2222
2c 22 1412 62cos2c 3.182
14122
5.13c
r
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EXAMPLE 3:
A ranger tower at point A is directly north of a ranger tower at point B. A fire
at point C is observed from both towers. The distance from the fire to tower A is
60 miles, and the distance from the fire to tower B is 50 miles. If mACB = 62,
find the difference between the towers.
A
B
C
50
62
60
c
Cabbac cos2222
62cos605026050 222 c
2.32832 c
3.57c
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TODAY’S ASSIGNMENT
13.5 Skills Practice
#1 – 6