# Big Ideas Math Geometry Chapter 9: Right Triangles and Trigonometry Chapter Exam

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. Which answer do you get when you calculate an inverse trig function on a calculator?

#### Question 2 2. How many sides of a triangle do you need to know in order to use the law of cosines?

#### Question 3 3. Who is credited with proving the Pythagorean Theorem?

#### Question 4 4. Which angle do you need to know in order to use the law of cosines to find an unknown side?

#### Question 5 5. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

### Page 2

#### Question 6 6. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

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

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Question 8
8.
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 9 9. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

#### Question 10 10. Which of the following is the equation for the Pythagorean Theorem?

### Page 3

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Question 11
11.
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 12 12. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

#### Question 13 13. Which exponent is used to denote the inverse trig functions?

#### Question 14 14. If we are given sides a and c along with angle A, which of the following can be found by using the law of sines?

#### Question 15 15. What is the trigonometric ratio for tangent?

### Page 4

#### Question 16 16. In the pictured triangle, what ratio represents the cosine of theta?

#### Question 17 17. Which of the following answers is out of range for the arctangent function?

#### Question 18 18. What is the length of the missing side if the two known sides of a triangle are 3 feet and 6 feet and the angle opposite the missing side is 60 degrees?

#### Question 19 19. What shape does the law of cosines help you to solve?

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Question 20
20.
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 5

#### Question 21 21. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

#### Question 22 22. A ladder is 6 feet from a building. The building is 20 feet tall. The angle opposite the ladder is 90. How tall is the ladder?

#### Question 23 23. Which of the following is a right triangle?

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

####
Question 25
25.
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*?

### Page 6

#### Question 26 26. What is the acronym to remember sine, cosine and tangent?

#### Question 27 27. Which of the following triangles will the Pythagorean Theorem work for?

#### Question 28 28. A baseball diamond has 90 feet between each base. How far will the catcher (standing at home plate) throw the ball across the diagonal to the second baseman at 2nd base?

#### Question 29 29. Solve sin x = -1.

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Question 30
30.
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.

#### Big Ideas Math Geometry Chapter 9: 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!