Bluebook SAT Test Right Triangles and Trigonometry 5

Question 1

In right triangle XYZ with right angle at Z, XY = 25 and YZ = 7. What is cos(Y)?

Accepted Answer

7/25

Answer

24/25

Answer

7/24

Answer

24/7

Question 2

A 30-60-90 triangle has the longer leg equal to 9√3. What is the length of the shorter leg?

Accepted Answer

9

Answer

18

Answer

9√2

Answer

3√3

Question 3

A wire is attached from the top of a 30-foot pole to a stake 16 feet from the base. How long is the wire?

Accepted Answer

34

Answer

32

Answer

46

Answer

√866

Question 4

In right triangle DEF with right angle at F, tan(D) = 3/4 and EF = 9. What is DE?

Accepted Answer

15

Answer

12

Answer

9

Answer

25

Question 5

Two right triangles are similar. Their areas are 50 and 200 square units. What is the ratio of their corresponding sides?

Accepted Answer

1:2

Answer

1:4

Answer

1:√2

Answer

1:√3

Question 6

A right triangle has an acute angle of 60° and the side adjacent to that angle is 5. What is the hypotenuse?

Accepted Answer

10

Answer

5√3

Answer

5√2

Answer

10√3

Question 7

In right triangle PQR with right angle at R, angle P = 45°. If PQ = 8√2, what is QR?

Accepted Answer

8

Answer

4√2

Answer

16

Answer

8√3