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The Basics

The Basics. State the Ratio. Sides. Angles. Real-Life. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. The Basics 100.

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The Basics

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  1. The Basics State the Ratio Sides Angles Real-Life 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  2. The Basics 100 Q. What is the side directly opposite to the 90o angle in a right triangle called? A. The hypotenuse

  3. The Basics 200 Q. Name the 3 primary trigonometric ratios A. Tangent, sine, and cosine

  4. 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?

  5. The Basics 400 Q. What is the value of tan 40o rounded to four decimal places? A. 0.8391

  6. The Basics 500 Q. If tan x = 1.5625, what is the value of x, to the nearest tenth of a degree? • 57.4o You can check your answer by entering tan 57.4o into your calculator. The result should be close to 1.5625

  7. State the Ratio 100 Q. What is tan x in the following diagram? A. 9/12 or 0.75

  8. State the Ratio 200 Q. What is the value of tan x in the following diagram? A. 1.667

  9. State the Ratio 300 Q. What is the value of tan x in the diagram? A. 0.5

  10. 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

  11. 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

  12. Sides 100 Q. What is the value of x ? A. x = 8.7

  13. Sides 200 Q. What is x? A. x = 4

  14. Sides 300 Q. What is x ? A. x =18.9

  15. Sides 400 Q. What is x ? A. x = 8.7

  16. Sides 500 Q. What is the value of x ? A. x =17.4

  17. Angles 100 Q. If tan x = 0.6109, then what is x ? A. x = 31.4o

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

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

  20. Angles 400 Q. What is the value of x, to the nearest tenth of a degree? A. 30.2o

  21. 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.

  22. Real-Life 100 Q. True or false? The angle of elevation is equal to the angle of depression. A. True.

  23. 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

  24. 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

  25. 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

  26. 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

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