Bluebook SAT Test Right Triangles and Trigonometry 9

Question 1

In right triangle ABC with the right angle at C, if sin(A) = 2/3, what is the value of sin²(A) + cos²(A)?

Accepted Answer

1

Answer

4/9

Answer

5/9

Answer

2/3

Question 2

A right triangle has legs of length 7 and 24. What is the value of sin of the angle opposite the leg of length 7?

Accepted Answer

7/25

Answer

7/24

Answer

24/25

Answer

24/7

Question 3

In a 30-60-90 right triangle, if the hypotenuse has length 8, what is the length of the side opposite the 60° angle?

Accepted Answer

4√3

Answer

4

Answer

8√3

Answer

4√2

Question 4

Right triangle PQR has the right angle at R. If cos(P) = 5/13, what is tan(P)?

Accepted Answer

12/5

Answer

12/13

Answer

5/12

Answer

13/5

Question 5

A 10-foot ladder leans against a vertical wall. The base of the ladder is 6 feet from the wall. At what angle, to the nearest degree, does the ladder make with the ground?

Accepted Answer

53°

Answer

37°

Answer

45°

Answer

60°

Question 6

In right triangle ABC with right angle at C, AB = 10 and AC = 6. What is sin(B)?

Accepted Answer

3/5

Answer

4/5

Answer

3/4

Answer

4/3

Question 7

Two right triangles are similar. The first has legs 6 and 8. The hypotenuse of the second triangle is 25. What is the perimeter of the second triangle?

Accepted Answer

60

Answer

50

Answer

55

Answer

75