Transcript Tangent Ratio Jeopardy!

The
Basics
State the Ratio
Sides
Angles
Real-Life
100
100
100
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100
200
200
200
200
200
300
300
300
300
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400
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400
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500
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500
The Basics 100
Q. What is the side directly opposite to the 90o
angle in a right triangle called?
A. The hypotenuse
The Basics 200
Q. Name the 3 primary trigonometric ratios
A. Tangent, sine, and cosine
The Basics 300
Q. True or false? The tangent ratio of an angle,
x, can be expressed as:
A. False. What is the correct answer?
The Basics 400
Q. What is the value of tan 40o rounded to four
decimal places?
A. 0.8391
The Basics 500
Q. If tan x = 1.5625, what is the value of x, to the
nearest tenth of a degree?
A.57.4o
You can check your answer by entering tan 57.4o
into your calculator. The result should be close
to 1.5625
State the Ratio 100
Q. What is tan x in the following diagram?
A. 9/12 or 0.75
State the Ratio 200
Q. What is the value of tan x
in the following diagram?
A.
1.667
State the Ratio 300
Q. What is the value of tan x
in the diagram?
A. 0.5
State the Ratio 400
Q. James knows that tan x is equal to 0.3333.
What is the ratio of the opposite side to the
adjacent side in lowest terms?
A. 1/3 or one-third
State the Ratio 500
Q. Audrey knows tan x = 0.5. She also knows
the opposite side is 6 cm. What is the adjacent
side?
A. 12 cm
Sides 100
Q. What is the value of x ?
A. x = 8.7
Sides 200
Q. What is x?
A. x = 4
Sides 300
Q. What is x ?
A. x =18.9
Sides 400
Q. What is x ?
A. x = 8.7
Sides 500
Q. What is the value of x ?
A. x =17.4
Angles 100
Q. If tan x = 0.6109, then what is x ?
A. x = 31.4o
Angles 200
Q. What is the value of x ?
A. x = 45o
Angles 300
Q. What is the value of x , to the nearest tenth of
a degree?
A. 17o
Angles 400
Q. What is the value of x , to the nearest tenth of
a degree?
A. 30.2o
Angles 500
Q. Why is tan 45o = 1?
A. This would be an isosceles triangle and the
opposite side and adjacent side are equal length.
Any number divided by itself equals 1.
Real-Life 100
Q. True or false? The angle of elevation is equal
to the angle of depression.
A. True.
Real-Life 200
Q. The shadow of a tree is 15.6m long when the
angle of elevation to the sun is 62o. How tall is
the tree?
Answer: 29.3m
Real-Life 300
Q. From the top of a building 124m high to a
mailbox on the ground, the angle of depression is
57o. How far is the mailbox from the building?
A. 80.5m
Real-Life 400
Q. A flagpole 12 m tall casts a shadow 8.2m
long. What is the angle of elevation to the sun?
A. 56o
Real-Life 500
Q. A 5m ladder is to lean against a wall so that
the foot of the ladder makes an angle of 75o with
the ground. How far should the foot of the ladder
be placed from the wall? Hint: Draw a diagram.
A. 1.3m