Bluebook SAT Test Right Triangles and Trigonometry 8

Question 1

In right triangle PQR with right angle at R, PQ = 29 and PR = 20. What is QR?

Accepted Answer

21

Answer

22

Answer

19

Answer

√441

Question 2

In right triangle ABC with right angle at C, sin(B) = 7/25. What is cos(B)?

Accepted Answer

24/25

Answer

7/24

Answer

25/24

Answer

25/7

Question 3

A surveyor stands 80 feet from the base of a tower. The angle of elevation to the top of the tower is 45°. How tall is the tower?

Accepted Answer

80

Answer

80√2

Answer

40√2

Answer

160

Question 4

A right triangle has legs of length 3k and 4k. If the hypotenuse is 50, what is k?

Accepted Answer

10

Answer

5

Answer

8

Answer

12

Question 5

In a 45-45-90 triangle, angle A = 45° and the side opposite A is 6√2. What is the hypotenuse?

Accepted Answer

12

Answer

6

Answer

6√2

Answer

12√2

Question 6

Right triangles P and Q are similar. Triangle P has legs 8 and 15. Triangle Q has the longer leg equal to 45. What is the hypotenuse of Triangle Q?

Accepted Answer

51

Answer

45

Answer

30

Answer

24

Question 7

In right triangle ABC with right angle at C, angle A = 60° and AC = 5. What is BC?

Accepted Answer

5√3

Answer

10

Answer

5/√3

Answer

5√2