Bluebook SAT Test Right Triangles and Trigonometry 10

Question 1

In right triangle XYZ with right angle at Z, XZ = 8 and XY = 17. What is cos(X)?

Accepted Answer

8/17

Answer

8/15

Answer

15/17

Answer

17/8

Question 2

A surveyor looks up at the top of a flagpole. The angle of elevation is 30° and the surveyor is 45 feet from the base. How tall is the flagpole?

Accepted Answer

15√3

Answer

45/√3

Answer

45√3

Answer

90

Question 3

A right triangle has a hypotenuse of 13 and one leg of 5. What is the sine of the larger acute angle?

Accepted Answer

12/13

Answer

5/13

Answer

5/12

Answer

13/12

Question 4

In a 45-45-90 right triangle, if one leg has length 5, what is the length of the hypotenuse?

Accepted Answer

5√2

Answer

5

Answer

5√3

Answer

10

Question 5

Right triangle DEF has right angle at E. If tan(D) = 3 and EF = 6, what is DF?

Accepted Answer

2√10

Answer

6√10

Answer

3√10

Answer

18

Question 6

In right triangle ABC with right angle at C, angle A = 30° and AB = 12. What is the length of BC?

Accepted Answer

6

Answer

6√3

Answer

4√3

Answer

12√3

Question 7

In right triangle PQR with the right angle at R, PQ = 29 and QR = 21. What is sin(Q)?

Accepted Answer

20/29

Answer

21/29

Answer

21/20

Answer

20/21