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# Praxis I Math: 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 "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 x?

#### Question 2 2. A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television?

#### Question 3 3. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

#### Question 4 4. Simplify the following expression.

#### Question 5 5. What is z in terms of x and y?

### Page 2

#### Question 6 6. 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 7
7.
What's the value of 2sin(*θ*)cos(*θ*) given that the equation below is true?

####
Question 8
8.
Solve the following trigonometric equation for *x*.

#### Question 9 9. Simplify the following expression.

####
Question 10
10.
Solve the following equation for *θ*.

### Page 3

####
Question 11
11.
Solve for the value of *x* in the trigonometric equation below. (Use the domain -π/2 to π/2)

####
Question 12
12.
Solve the following trigonometric equation for *θ*.

#### Question 13 13. 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 14 14. If a right triangle has a hypotenuse of 8, what must the median measure?

#### Question 15 15. What is x?

### Page 4

#### Question 16 16. What is the Pythagorean Theorem and how is it used?

####
Question 17
17.
What is the value of cos(*θ*) given that the equation below is true?

#### Question 18 18. You are standing at the point (2,3) on a graph. Which point is closer: (-1,2) or (4,6)?

#### Question 19 19. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

#### Question 20 20. What is x?

### Page 5

#### Question 21 21. Which of the following is true?

#### Question 22 22. What is x?

#### Question 23 23. What is z in terms of x?

#### Question 24 24. If a triangle has sides of 6 and 8, what must the hypotenuse be for the triangle to be a right triangle?

#### Question 25 25. 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?

### Page 6

#### Question 26 26. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

####
Question 27
27.
Solve the following equation for *x*.

#### Question 28 28. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

####
Question 29
29.
Which of these angles can replace *x* in tan (*x*)?

#### Question 30 30. The triangle below has an altitude of 10. The longer split of the hypotenuse is 12. What is the measurement of the shorter split of the hypotenuse?

#### Praxis I Math: 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 "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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