jeopardy trig ratios finding a missing side finding a missing angle sec, csc, and cot word problems...
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Jeopardy
Trig ratiosFinding a missing
side
Finding a missing angle
Sec, csc, and cot
Word Problems
100
200
300
400
500
100
200
300
400
500
100
200
300
400
500
100
200
300
400
500
100
200
300
400
500
Category 1 100
Identify the hypotenuse, adjacent and opposite sides.
Reference Angle CA
B C
Category 1 100
A
B C
HypotenuseOpposite
Adjacent
Category 1 200
What does SOH-CAH-TOA mean?
Category 1 200SineOpposite over Hypotenuse
CosineAdjacent over Hypotenuse
TangentOpposite over Adjacent
Category 1 300
Write the following Trig ratio:
Cos A
B
A
C
16
12
20
Category 1 300
B
A
C
16
12
20
Cos A = 12/20 = 3/5
Category 1 400Write the following Trig ratio:
Tan X
X
Y
Z
16 12
20
Category 1 400
X
Y
Z
16 12
20
Tan X = 16/12 = 4/3
Category 1 500
Write the following Trig ratios: sin A, cos A, tan A
BA
C
36
39
15
Category 1 500
BA
C
36
39
15
sin A = 15/39 = 5/13 cos A = 36/39 = 12/13tan A = 15/36 = 5/12
Category 2 100
Find the missing Side. Found to the nearest tenth.
x
572o
Category 2 100
x = 16.2
Category 2 200
Find the missing Side. Found to the nearest tenth.
x
1224o
Category 2 200
x = 5.3
Category 2 300
Find the missing Side. Found to the nearest tenth.
x
1449o
Category 2 300
x = 12.2
Category 2 400
Find the missing Side. Found to the nearest tenth.
x
1451o
Category 2 400
x = 18.0
Category 2 500
Find the missing Side. Found to the nearest tenth.
x21
65o
Category 2 500
x = 52.0
Category 3 100
Find the missing angle. Found to the nearest degree.
4240
?
Category 3 100
72o
Category 3 200
Find the missing angle. Found to the nearest degree.
1127
?
Category 3 200
24o
Category 3 300
Find the missing angle. Found to the nearest degree.
20
13
?
Category 3 300
49o
Category 3 400
Find the missing angle. Found to the nearest degree.
12
24?
Category 3 400
30o
Category 3 500
Find the missing angle. Found to the nearest degree.
68
51?
Category 3 500
53o
Category 4 100
A 15-foot ladder is leaning against a wall creating a 36o angle. How high up the wall does the ladder reach?
100Category 4
x = 12.1 feet
200
Category 4
A ship is approaching a lighthouse with a sailor on its bow. The sailor is looking at the top of the lighthouse with a range finder. The top of the lighthouse is 500 yards away at an angle of 18˚. How far is the ship away from the lighthouse?
200Category 4
475.5 yards
300Category 4
A pine tree sits in a clearing. It casts a 45 foot shadow on the ground. The angle from the end of the shadow to the top of the tree is 40˚. How tall is the tree?
300Category 4
37.8 feet
400Category 4
A boy flying a kite lets out 300 feet of string which makes an angle of 38o with the ground. Assuming that the string is straight, how high above the ground is the kite.
400Category 4
184.7 feet
500Category 4
An airplane climbs at an angle of elevation 11o with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet.
500Category 4
2057.8 feet
Category 5 100
Cosecant A is the reciprocal in of which trigonometric function?
100Category 5
Sine A
Csc A = 1/sin A
200Category 5
Cotangent A is the reciprocal in of which trigonometric function?
200Category 5
Tangent A
Cot A = 1/tan A
300Category 5
Secant A is the reciprocal in of which trigonometric function?
300Category 5
Cosine A
Sec A = 1/cos A
400Category 5
What are two ratios we could use to represent the following ratio: a/b
A
B C
b
a
c
400Category 5
Sin A = Cos C = a/b
500Category 5
What are two ratios we could use to represent the following ratio: c/a
A
B C
b
a
c
500Category 5
Tan C = Cot A = c/a
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