The Basics State the RatioSidesAnglesReal-Life 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.

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Presentation transcript:

The Basics State the RatioSidesAnglesReal-Life

The Basics 100 Q. What is the side directly opposite to the 90 o 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 40 o rounded to four decimal places? A

The Basics 500 Q. If tan x = , what is the value of x, to the nearest tenth of a degree? A.57.4 o You can check your answer by entering tan 57.4 o into your calculator. The result should be close to

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 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 = , then what is x ? A. x = 31.4 o

Angles 200 Q. What is the value of x ? A. x = 45 o

Angles 300 Q. What is the value of x, to the nearest tenth of a degree? A. 17 o

Angles 400 Q. What is the value of x, to the nearest tenth of a degree? A o

Angles 500 Q. Why is tan 45 o = 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 62 o. 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 57 o. 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. 56 o

Real-Life 500 Q. A 5m ladder is to lean against a wall so that the foot of the ladder makes an angle of 75 o with the ground. How far should the foot of the ladder be placed from the wall? Hint: Draw a diagram. A. 1.3m