Bluebook SAT Test Right Triangles and Trigonometry 2

Question 1

In right triangle ABC with the right angle at C, AB = 17 and BC = 8. What is the value of tan(A)?

Accepted Answer

8/15

Answer

15/8

Answer

8/17

Answer

15/17

Question 2

A right triangle has a hypotenuse of 26 and one leg of 10. What is the length of the other leg?

Accepted Answer

24

Answer

20

Answer

16

Answer

28

Question 3

A ramp rises 5 feet over a horizontal distance of 12 feet. What is the length of the ramp?

Accepted Answer

13

Answer

17

Answer

15

Answer

11

Question 4

In a right triangle, one acute angle measures 30°. The side opposite this angle is 7. What is the length of the hypotenuse?

Accepted Answer

14

Answer

7√3

Answer

7√2

Answer

7

Question 5

A 45-45-90 triangle has legs of length 9. What is the perimeter of the triangle?

Accepted Answer

18 + 9√2

Answer

27

Answer

18

Answer

9 + 18√2

Question 6

In right triangle XYZ with the right angle at Z, cos(X) = 5/13. What is sin(X)?

Accepted Answer

12/13

Answer

5/12

Answer

13/12

Answer

13/5

Question 7

Two similar right triangles have corresponding hypotenuses of 10 and 25. If the shorter triangle has a leg of 6, what is the corresponding leg of the larger triangle?

Accepted Answer

15

Answer

12

Answer

10

Answer

18