Bluebook SAT Test Right Triangles and Trigonometry 7

Question 1

In right triangle ABC with right angle at C, AB = 20 and sin(A) = 3/5. What is BC?

Accepted Answer

12

Answer

15

Answer

16

Answer

9

Question 2

A right isosceles triangle has a hypotenuse of 18. What is the area of the triangle?

Accepted Answer

81

Answer

72

Answer

81√2

Answer

162

Question 3

From the base of a hill, a climber walks 200 meters along a slope that makes a 30° angle with the horizontal. How high does the climber rise?

Accepted Answer

100

Answer

100√3

Answer

200√3

Answer

50√3

Question 4

In right triangle JKL with right angle at L, tan(K) = 2. If KL = 5, what is JL?

Accepted Answer

10

Answer

5/2

Answer

√5

Answer

√29

Question 5

A right triangle has a hypotenuse of 10 and one acute angle of 37°. Which expression gives the leg opposite the 37° angle?

Accepted Answer

10 sin(37°)

Answer

10 cos(37°)

Answer

10 tan(37°)

Answer

10/sin(37°)

Question 6

Two right triangles share the same hypotenuse of length 26. One has a leg of 10; the other has a leg of 24. Are both valid right triangles?

Accepted Answer

Yes — 10-24-26 and both satisfy the Pythagorean theorem

Answer

No — only one satisfies the theorem

Answer

Yes — but they are congruent

Answer

No — neither satisfies the theorem

Question 7

A 30-60-90 triangle has hypotenuse 22. What is the area of the triangle?

Accepted Answer

(121√3)/2

Answer

121√3

Answer

44√3

Answer

121