Bluebook SAT Test Right Triangles and Trigonometry 3

Question 1

In right triangle MNO with the right angle at O, MN = 10 and MO = 6. What is cos(M)?

Accepted Answer

3/5

Answer

4/5

Answer

3/4

Answer

5/3

Question 2

A tree casts a shadow 24 feet long. A 6-foot person standing nearby casts a shadow 4 feet long. How tall is the tree?

Accepted Answer

36

Answer

24

Answer

30

Answer

48

Question 3

In a 30-60-90 triangle, the hypotenuse is 16. What is the length of the longer leg?

Accepted Answer

8√3

Answer

8

Answer

16√3

Answer

4√3

Question 4

From the top of a 40-foot cliff, the angle of depression to a boat is 30°. How far is the boat from the base of the cliff?

Accepted Answer

40√3

Answer

40/√3

Answer

20√3

Answer

40

Question 5

A right triangle has legs x and x + 7. Its hypotenuse is 13. What is the smaller leg x?

Accepted Answer

5

Answer

6

Answer

7

Answer

4

Question 6

In right triangle ABC with right angle at C, sin(B) = 4/5. If BC = 3, what is AC?

Accepted Answer

4

Answer

5

Answer

3

Answer

16/3

Question 7

Two right triangles are similar. In the smaller, the legs are 5 and 12. In the larger, the longer leg is 36. What is the hypotenuse of the larger triangle?

Accepted Answer

39

Answer

15

Answer

45

Answer

30