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High School Geometry: Introduction to Trigonometry Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. In the pictured triangle, side a is 9 and side b is 6. If ∠C is 26 degrees, then approximately how long is side c? Round the value of the cosine to the nearest whole number.

Question 2 2. What's the value of sec2 (θ) given that the equation below is true?

Question 3 3. What is the trigonometric ratio for tangent?

Question 4 4. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

Question 5 5. What is the value of cos(θ) given that the equation below is true?

Page 2

Question 6 6. What is the area of the annulus/doughnut shown below?

Question 7 7. What is the volume of a cube with an edge length of 6 cm?

Question 8 8. What is the area of the circle enclosed by taking a 4 cm by 6 cm sheet and wrapping it around a 6 cm tall cylinder?

Question 9 9. Simplify the following expression.

Question 10 10. What is x?

Page 3

Question 11 11. Which of the following is true?

Question 12 12. Simplify the following expression.

Question 13 13. What is the trigonometric ratio for sine?

Question 14 14. What is x?

Question 15 15. In the pictured triangle, side a is 23, side b is 18, and side c is 16. What is the approximate measure of ∠C?
Round ∠C to the nearest whole number

Page 4

Question 16 16. Jerry wants to buy a TV online, but the ad for the TV he wants to buy does not say what the screen size is. He knows that TV screens are measured diagonally. This image shows the length and width of the screen, so he decides to use the Pythagorean Theorem to determine the diagonal screen size. What is the screen size of the TV that Jerry wants to buy (to the nearest inch)?

Question 17 17. Find the value of x, rounded to the nearest degree.

Question 18 18. What is the Pythagorean Theorem and how is it used?

Question 19 19. What is the volume of a hemisphere with a radius of 3cm?

Question 20 20. If we want to find the surface area of the inside of a swimming pool with the dimensions 2 m deep x 10 m wide x 30 m long, then why is this surface area different from a rectangular prism with the dimensions 2 m deep x 10 m wide x 30 m long?

Page 5

Question 21 21. What is the acronym to remember sine, cosine and tangent?

Question 22 22. In the pictured triangle, what ratio represents the cosine of theta?

Question 23 23. Which of these angles can replace x in tan (x)?

Question 24 24. Find the value of x, rounded to the nearest tenth.

Question 25 25. In the pictured triangle, side b is 12 and side c is 16. If ∠A is 84 degrees, then approximately how long is side a? Round the value of the cosine to the nearest whole number.

Page 6

Question 26 26. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

Question 27 27. In the pictured triangle, ∠A is 58 degrees and ∠C is 63 degrees. If side a is 84 units long, approximately how long is side c?

Question 28 28. What is the trigonometric ratio for cosine?

Question 29 29. What is z in terms of x?

Question 30 30. The lines a and b are parallel lines of length 5 and 2. The lines d and e are parallel to one another, and both are perpendicular to a and b. What is the length of c?

High School Geometry: Introduction to Trigonometry Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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