Directions: Read carefully. You may want to draw a right triangle to examine these situations. These problems deal with trigonometry in right triangles in Quadrant I. Choose the best answers.

1.
In the triangle shown at the right, which ratio represents cos C ?

Choose:
 4/5 3/5 3/4 5/3

2.

Choose:
 4/5 3/5 5/4 5/3

3.
Which ratio represents sec A in the triangle shown at the right?

Choose:
 5/12 13/5 13/12 12/5

4.
In the triangle shown at the right, CT = 6,
CA = 3 and m∠CAT = 90. What is the value of cot C ?
Choose:
 3

5.
In ΔDOG shown at the right, OG = 7,
DG = 8 and mDOG = 90. What is the measure of ∠G to the nearest minute?
Choose:
 28º 95' 28º 96' 28º 57' 28º 58'

6.

Assume 0º < θ < 90º.

Choose:
 65/144 60/156 169/144 144/65

7.

Assume 0º < θ < 90º.

Choose:
 1 2

8.

Assume 0º < θ < 90º.

Choose:
 1 2

9.
Find to the nearest degree, the measure of an acute angle formed by the x-axis and the line containing the points (4,3) and (8,9).

Choose:
 56º 34º 57º 35º

10.
A small loading ramp for restaurant deliveries is to be inclined no more than 5.7º. If the base of the ramp begins 8 feet from the doorway step, which of the following choices can be used to determine the maximum height, h, of the ramp where it reaches the doorway step?
Choose:
 only & only &