Bluebook SAT Test Right Triangles and Trigonometry 6

Question 1

A right triangle has legs of 20 and 21. What is the length of the hypotenuse?

Accepted Answer

29

Answer

30

Answer

28

Answer

√841

Question 2

In right triangle ABC with right angle at C, sin(A) = 5/13. What is the length of AC if AB = 26?

Accepted Answer

24

Answer

10

Answer

12

Answer

20

Question 3

An observer stands 50 meters from a building. The angle of elevation to the roof is 60°. How tall is the building?

Accepted Answer

50√3

Answer

50/√3

Answer

100

Answer

25√3

Question 4

A 30-60-90 triangle has the longer leg = 12. What is the hypotenuse?

Accepted Answer

8√3

Answer

24/√3

Answer

24√3/3

Answer

8√3 · 2

Question 5

In right triangle GHI with right angle at H, GH = 8 and GI = 17. What is cos(G)?

Accepted Answer

8/17

Answer

15/17

Answer

8/15

Answer

17/15

Question 6

Two right triangles are similar with similarity ratio 2:5. If the perimeter of the smaller is 24, what is the perimeter of the larger?

Accepted Answer

60

Answer

48

Answer

120

Answer

30

Question 7

In right triangle ABC with right angle at C, angle A = 30° and BC = 4. What is the length of AB?

Accepted Answer

8

Answer

4√3

Answer

4√2

Answer

4/√3