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Glencoe Geometry Chapter 7: Right Triangles and 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. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

Question 2 2. In the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Question 3 3. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

Question 4 4. Find the value of x, rounded to the nearest tenth.

Question 5 5. What is the trigonometric ratio for cosine?

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Question 6 6. In the pictured triangle, ∠A is 98 degrees and ∠B is 12 degrees. If side a is 84 units long, approximately how long is side b?

Question 7 7. Find the value of x, rounded to the nearest degree.

Question 8 8. A baseball diamond is square shaped and has 90 feet between each base located at the corners of the square. How far will the catcher at one corner (standing at home plate) throw the ball across the diagonal to the second baseman at the opposite corner?

Question 9 9. What is the geometric mean of 2 and 4?

Question 10 10. 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.

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Question 11 11. 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 12 12. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

Question 13 13. The geometric mean gives you the average rate of growth for growth that is what?

Question 14 14. What numbers besides zero cannot be used in geometric mean calculations?

Question 15 15. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

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Question 16 16. 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

Question 17 17. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

Question 18 18. What is the trigonometric ratio for tangent?

Question 19 19. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

Question 20 20. Simplify the following expression.

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Question 21 21. What is the trigonometric ratio for sine?

Question 22 22. In the pictured triangle, ∠A is 62 degrees and ∠C is 86 degrees. If side a is 112 units long, approximately how long is side c?

Question 23 23. 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 24 24. What's the value of 2sin(θ)cos(θ) given that the equation below is true?

Question 25 25. Find the value of x, rounded to the nearest tenth.

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Question 26 26. In the pictured triangle, ∠A is 137 degrees and ∠B is 28 degrees. If side b is 71 units long, approximately how long is side a?

Question 27 27. Find the value of x, rounded to the nearest tenth.

Question 28 28. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

Question 29 29. In the pictured triangle, what ratio represents the cosine of theta?

Question 30 30. Find the value of x, rounded to the nearest degree.

Glencoe Geometry Chapter 7: Right Triangles and 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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