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The Basics State the Ratio Sides Angles Real-Life
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The Basics 100
Q. What is the side directly opposite to the 90Q. What is the side directly opposite to the 90oo angle in a right triangle called?angle in a right triangle called?
A. The hypotenuseA. The hypotenuse
The Basics 200
Q. Name the 3 primary trigonometric ratiosQ. Name the 3 primary trigonometric ratios
A. Tangent, sine, and cosineA. Tangent, sine, and cosine
The Basics 300
Q. True or false? The tangent ratio of an angle, Q. True or false? The tangent ratio of an angle, x, can be expressed as:x, can be expressed as:
A. False. What is the correct answer?A. False. What is the correct answer?
The Basics 400
Q. What is the value of tan 40Q. What is the value of tan 40oo rounded to four rounded to four decimal places?decimal places?
A. 0.8391A. 0.8391
The Basics 500
Q. If tan Q. If tan xx = 1.5625, what is the value of = 1.5625, what is the value of xx, to the , to the nearest tenth of a degree?nearest tenth of a degree?
A.A.57.457.4oo
You can check your answer by entering tan 57.4You can check your answer by entering tan 57.4oo into your calculator. The result should be close into your calculator. The result should be close to 1.5625to 1.5625
State the Ratio 100
Q. What is tanQ. What is tan x x in the following diagram? in the following diagram?
A. 9/12 or 0.75A. 9/12 or 0.75
State the Ratio 200
Q. What is the value of tan Q. What is the value of tan xx
in the following diagram?in the following diagram?
A.A. 1.667 1.667
State the Ratio 300
Q. What is the value of tan Q. What is the value of tan xx
in the diagram?in the diagram?
A. 0.5A. 0.5
State the Ratio 400
Q. James knows that tan Q. James knows that tan x x is equal to 0.3333. is equal to 0.3333. What is the ratio of the opposite side to the What is the ratio of the opposite side to the adjacent side in lowest terms?adjacent side in lowest terms?
A. 1/3 or one-thirdA. 1/3 or one-third
State the Ratio 500
Q. Audrey knows tan Q. Audrey knows tan x = x = 0.5. She also knows 0.5. She also knows the opposite side is 6 cm. What is the adjacent the opposite side is 6 cm. What is the adjacent side?side?
A. 12 cmA. 12 cm
Sides 100
Q. What is the value of Q. What is the value of x x ??
A. A. x = x = 8.78.7
Sides 200
Q. What is Q. What is x?x?
A. A. x = x = 44
Sides 300
Q. What is Q. What is x x ??
A. A. x =x =18.918.9
Sides 400
Q. What is Q. What is x x ??
A. A. x = x = 8.78.7
Sides 500
Q. What is the value of Q. What is the value of x x ??
A. A. x =x =17.417.4
Angles 100
Q. If tan Q. If tan x = x = 0.6109, then what is 0.6109, then what is xx ? ?
A. A. x = x = 31.431.4oo
Angles 200
Q. What is the value of Q. What is the value of x x ? ?
A. A. x = x = 4545oo
Angles 300
Q. What is the value of Q. What is the value of x , x , to the nearest tenth of to the nearest tenth of a degree?a degree?
A. 17A. 17oo
Angles 400
Q. What is the value of Q. What is the value of xx , to the nearest tenth of , to the nearest tenth of a degree?a degree?
A. 30.2A. 30.2oo
Angles 500
Q. Why is tan 45Q. Why is tan 45oo = 1? = 1?
A. This would be an isosceles triangle and the A. This would be an isosceles triangle and the opposite side and adjacent side are equal length. opposite side and adjacent side are equal length. Any number divided by itself equals 1.Any number divided by itself equals 1.
Real-Life 100
Q. True or false? The angle of elevation is equal Q. True or false? The angle of elevation is equal to the angle of depression.to the angle of depression.
A. True.A. True.
Real-Life 200
Q. The shadow of a tree is 15.6m long when the Q. The shadow of a tree is 15.6m long when the angle of elevation to the sun is 62angle of elevation to the sun is 62o. o. How tall is How tall is the tree?the tree?
Answer: 29.3mAnswer: 29.3m
Real-Life 300Q. From the top of a building 124m high to a Q. From the top of a building 124m high to a mailbox on the ground, the angle of depression mailbox on the ground, the angle of depression is 57is 57oo. How far is the mailbox from the building?. How far is the mailbox from the building?
A. 80.5mA. 80.5m
Real-Life 400Q. A flagpole 12 m tall casts a shadow 8.2m Q. A flagpole 12 m tall casts a shadow 8.2m long. What is the angle of elevation to the sun?long. What is the angle of elevation to the sun?
A. 56A. 56oo
Real-Life 500
Q. A 5m ladder is to lean against a wall so that Q. A 5m ladder is to lean against a wall so that the foot of the ladder makes an angle of 75the foot of the ladder makes an angle of 75o o with with the ground. How far should the foot of the ladder the ground. How far should the foot of the ladder be placed from the wall? be placed from the wall? Hint: Draw a diagramHint: Draw a diagram..
A. 1.3m A. 1.3m
