# Math - Triangles & Trigonometric Ratios: Help and Review 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. What is the acronym to remember sine, cosine and tangent?

#### Question 2 2. 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?

#### Question 3 3. What is x?

#### Question 4 4. Brad places a mirror on the ground 10 ft. away from the base of a bush at a botanical garden. He walks back towards the bush until he can see the top of the bush in the mirror. If Brad is standing 4 ft. away from the mirror, and is 6 ft. tall, how tall is the bush?

#### Question 5 5. Find the value of x, rounded to the nearest degree.

### Page 2

#### Question 6 6. Mary claims that the triangles below are similar by AA. Do you agree or disagree with Mary?

#### Question 7 7. What is the trigonometric ratio for sine?

#### Question 8 8. What type of triangle is pictured?

#### Question 9 9. In the pictured triangle, what ratio represents the cosine of theta?

#### Question 10 10. What is the trigonometric ratio for tangent?

### Page 3

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Question 11
11.
In the right triangle pictured below, what is the value of angle *x*?

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

#### Question 14 14. Jerry wants to buy a TV online, but the ad for the TV he wants does not say what the screen size is. He knows that TV screens are measured diagonally. The ad states the height and width of the screen, so he uses the Pythagorean Theorem to determine what the screen size is. What is the screen size of the TV that Jerry wants to buy?

#### Question 15 15. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

### Page 4

#### Question 16 16. Determine if triangle VEZ is similar to triangle MAG.

#### Question 17 17. What is the Pythagorean Theorem and how is it used?

#### Question 18 18. In the picture shown below, there are three lines marking each side of the triangle. These lines give the indication that the triangle is:

#### Question 19 19. A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television?

#### Question 20 20. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

### Page 5

#### Question 21 21. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

#### Question 22 22. Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?

#### Question 23 23. Find the distance between a and b.

#### Question 24 24. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

#### Question 25 25. Is triangle ABC similar to triangle DEF?

### Page 6

#### Question 26 26. Study the given diagram. Find the value of x, the distance between T and E.

#### Question 27 27. Which of the following is true?

#### Question 28 28. Find the value of x, rounded to the nearest tenth.

#### Question 29 29. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

#### Question 30 30. What is x?

#### Math - Triangles & Trigonometric Ratios: Help and Review 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!