Practice Page
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 ?
yellowtriangle

Choose:
 
4/5
3/5
3/4
5/3

 

 

2.
6prac1a
greentriangle

Choose:
 
4/5
3/5
5/4
5/3

 

 

3.
Which ratio represents sec A in the triangle shown at the right?
orangetri
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 ?
orangetriangleyellow
Choose:
 
math1
math3
math2
3

 

 

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

 

 

6.
pracsp6
Assume 0º < θ < 90º.
pracpic6

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

 

 

7.
pracsp11
Assume 0º < θ < 90º.
Choose:
 
pp7a
ppp7
 1 2

 

 

8.
prascp18
Assume 0º < θ < 90º.
pic8

Choose:
 
1
2
pracsp21
pracsp20

 

 

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?
pic10
Choose:
 
eq1 only
eq1 &csc10
 
eq3 only
eq3 & cot10


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