Bluebook SAT Test Right Triangles and Trigonometry 4

Question 1

In right triangle ABC with the right angle at C, tan(A) = 7/24. What is the length of the hypotenuse if AC = 24?

Accepted Answer

25

Answer

26

Answer

28

Answer

7

Question 2

A 45-45-90 triangle has a perimeter of 20 + 10√2. What is the length of the hypotenuse?

Accepted Answer

10√2

Answer

10

Answer

20

Answer

5√2

Question 3

In right triangle RST with right angle at T, RS = 15 and RT = 9. What is sin(R)?

Accepted Answer

4/5

Answer

3/5

Answer

4/3

Answer

5/4

Question 4

From a point on level ground, the angle of elevation to the top of a 60-meter building is 45°. How far is the point from the base of the building?

Accepted Answer

60

Answer

60√2

Answer

30√2

Answer

30

Question 5

A right triangle has a hypotenuse of 2 and one leg of √3. What is the measure of the smallest angle?

Accepted Answer

30°

Answer

45°

Answer

60°

Answer

90°

Question 6

In similar right triangles, the ratio of the shorter legs is 3:7. If the area of the smaller triangle is 27 square units, what is the area of the larger triangle?

Accepted Answer

147

Answer

63

Answer

189

Answer

441

Question 7

In right triangle ABC with right angle at C, cos(A) = 12/13. What is tan(A)?

Accepted Answer

5/12

Answer

5/13

Answer

12/5

Answer

13/12