DSAT DSAT Geometry and Trigonometry 2

Question 1

In a 30-60-90 triangle, the side opposite the 30° angle is 6. What is the length of the hypotenuse?

Accepted Answer

12

Answer

6√3

Answer

6√2

Answer

18

Question 2

What is the slope of a line passing through the points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 3

A sector of a circle has a central angle of 90° and a radius of 8. What is the area of the sector?

Accepted Answer

16π

Answer

8π

Answer

32π

Answer

64π

Question 4

The exterior angle of a triangle measures 120°. If one of the non-adjacent interior angles is 45°, what is the other non-adjacent interior angle?

Accepted Answer

75°

Answer

60°

Answer

90°

Answer

80°

Question 5

If sin(θ) = 3/5 in a right triangle, what is cos(θ)?

Accepted Answer

4/5

Answer

3/4

Answer

5/3

Answer

5/4

Question 6

What is the area of a trapezoid with parallel sides of length 8 and 12, and a height of 5?

Accepted Answer

50

Answer

40

Answer

60

Answer

100