online stop watch. 1.one person will answer the question for each group 2.answers should be to the...
TRANSCRIPT
Sections 10.1-10.2Law of Cosines
and Law of Sines
ONLINE STOP WATCH
1. ONE PERSON WILL ANSWER THE QUESTION FOR EACH GROUP
2. ANSWERS SHOULD BE TO THE TENTHS DECIMAL PLACE.
3. GROUPS CANNOT WHISPER ANSWERS TO THIER PERSON OR HELP THEM IN ANY WAY
4. EVERYONE MUST TAKE A TURN ANSWERING A QUESTION
5. ONCE YOU RING IN, YOU HAVE 5 SECONDS TO ANSWER6. ANSWERS DO NOT HAVE TO BE IN QUESTION FORM 7. EVERYONE SHOULD BE DOING EACH PROBLEM. YOUR
WORK WILL BE CHECKED AT THE END OF THE PERIOD.
REVIEW JEOPARDY RULES
REVIEW JEOPARDYHeron’s Formula
Area of an Oblique Triangle
Ambiguous CasesLaw of SinesLaw of
Cosines
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Law of Cosines– 10 PointsFind the missing parts of the oblique triangle with B = 40º, a = 12, and c =
20.b ≈ 13.3, A ≈ 35.5º, and C ≈ 104.5º
Law of Cosines– 20 PointsFind the angles of a
triangle whose vertices are
A(0,0), B(5,-2), and C(1,-4).A ≈ 54.2º, B ≈ 48.4º, and C ≈ 77.4º
Law of Cosines– 30 PointsTwo trains leave a station on different tracks. The tracks make a 112º angle with the station as a vertex. The first
train travels at an average speed of 90 kilometers per hour and the second at an average speed of 55 kilometers per
hour. How far apart are they after 2 hours and 45 minutes?
334.9 km
Law of Cosines– 40 PointsThe pitcher’s mound on a standard
baseball diamond (which is actually a square) is 60.5 feet from home plate.
How far is the pitcher’s mound from first base?
63.7 feet
Law of Cosines– 50 PointsTwo ships leave port, one
traveling in a straight course at 22 mph and the other traveling in a straight course at 31 mph. The courses diverge at 38º. How far
apart are they after 3 hours?
57.7 miles
Law of Sines– 10 PointsFind the missing parts of the oblique triangle with B = 33º, C = 46º, and b
= 4.
A = 101º, a ≈ 7.2, and c ≈ 5.3
Law of Sines– 20 PointsFind the missing parts of the
oblique triangle with B = 97.5º, C = 42.5º, and b
= 7a ≈ 4.5, c ≈ 4.8, and A = 40
Law of Sines– 30 PointsFind the missing parts of the oblique triangle with a = 9, b = 14, and B =
95º.A ≈ 39.8º, C ≈ 45.2º, and c ≈ 10.0
Law of Sines– 40 PointsA side view of a bus shelter is shown in the following figure. The brace d makes an angle of 37.25º with the back and an
angle of 34.85º with the top of the shelter. How long is the brace?
5.0 feet
Law of Sines– 50 PointsTwo straight roads meet at an angle of 40º in Harville, one leading to Eastview and the other to Wellston (see figure). Eastview is 18 kilometers from Harville
and 20 kilometers from Wellston. What is the distance from Harville to Wellston?
30.1 km
Ambiguous Cases– 10 Points
Find the missing parts of the oblique triangle withb = 30, c = 50, and C =
60º.A ≈ 88.7º, B ≈ 31.3º, and a ≈ 57.7
Ambiguous Cases– 20 Points
Find the missing parts of the oblique triangle with b = 15, c = 25, and B =
47º.No solution
Ambiguous Cases– 30 Points
Find the missing parts of the oblique triangle with a = 50, c = 80, and C =
45º.A ≈ 26.2º, B ≈ 108.8º, and b ≈ 107.1
Ambiguous Cases– 40 PointsFind the missing parts of the
oblique triangle with b = 24.1, c = 10.5, and C =
26.3º.No solution
Ambiguous Cases– 50 Points
Find the missing parts of the oblique triangle with a = 30, b = 40, and A =
30º.1: B ≈ 41.8º, C ≈ 108.2º, and c ≈ 57.02: B ≈ 138.2º, C ≈ 11.8º, and c ≈ 12.3
Area of an Oblique Triangle– 10 Points
Find the area of a triangle with b = 10, c = 14, and A =
36º41.1 sq units
Area of an Oblique Triangle– 20 Points
Find the area of a triangle with a = 9, b = 13, and C =
75º56.5 sq units
Area of an Oblique Triangle– 30 Points
Find the area of a triangle with a = 17, b = 27, and c =
40177.6 sq units
DAILY DOUBLE
Area of an Oblique Triangle– 40 Points
Find the area of a triangle with vertices A(0,0), B(2,-5),
and C(-3,1).
6.5 sq units
Area of an Oblique Triangle– 50 PointsFind the area of the
triangle ABE.
393.9 sq units
A B
E
C
D
Heron’s Formula– 10 PointsFind the area of a triangle with a = 4, b = 12, c = 14.
22.2 sq units
Heron’s Formula– 20 PointsFind the area of a triangle with a = 7, b = 9, and c =
11.
31.4 sq units
Heron’s Formula– 30 PointsFind the area of a triangle
with c = 7, a = 10, B = 68º.
32.4 sq units
Heron’s Formula– 40 PointsIf a gallon of paint covers 400 square
feet, how many one gallon buckets are needed to paint a triangular deck with the sides of 65 feet, 72 feet, and 88
feet?
6 buckets
Heron’s Formula– 50 PointsWhat is the area of a
triangle whose sides have lengths 12, 20, and 36?
(HINT: Draw a picture of the triangle)
The triangle does not exist.