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 ANSWER
6. 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.
Law of
Cosines
Law of Sines
Ambiguous
Cases
Area of an
Oblique Triangle
Heron’s
Formula
10
10
10
10
10
20
20
20
20
20
30
30
30
30
30
40
40
40
40
40
50
50
50
50
50
Law of Cosines– 10 Points
Find 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 Points
Find 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 Points
Two 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 Points
The 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 Points
Two 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 Points
Find 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 Points
Find the missing parts of the
oblique triangle with
B = 97.5º, C = 42.5º, and b = 7
a ≈ 4.5, c ≈ 4.8, and A = 40
Law of Sines– 30 Points
Find 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 Points
A 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 Points
Two 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 with
b = 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 Points
Find 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 ≈ 57.0
2: 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 = 36º
41.1 sq units
Area of an Oblique Triangle–
20 Points
Find the area of a triangle with
a = 9, b = 13, and C = 75º
56.5 sq units
Area of an Oblique Triangle–
30 Points
Find the area of a triangle with
a = 17, b = 27, and c = 40
177.6 sq units
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 Points
Find the area of the
triangle ABE.
B
A
C
E
D
393.9 sq units
Heron’s Formula– 10 Points
Find the area of a triangle
with a = 4, b = 12, c = 14.
22.2 sq units
Heron’s Formula– 20 Points
Find the area of a triangle
with a = 7, b = 9, and c = 11.
31.4 sq units
Heron’s Formula– 30 Points
Find the area of a triangle
with c = 7, a = 10, B = 68º.
32.4 sq units
Heron’s Formula– 40 Points
If 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 Points
What 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.