

1. 
Change north latitude 10.625° to degrees, minutes, and seconds. 


A. 
10° 36' 50" 
B. 
10° 36' 30" 


C. 
10° 37' 50" 
D. 
10° 37' 30" 


Hint 


2. 
Find the measure of the reference angle of 200°. 


A. 
200° 
B. 
20° 


C. 
160° 
D. 
40° 


Hint 


3. 
If find 


A. 
7 
B. 



C. 

D. 



Hint 


4. 
Find cos P. 





A. 

B. 



C. 

D. 



Hint 


5. 
Use the unit circle to find sec (180°). 


A. 
1 
B. 
1 


C. 
undefined 
D. 
0 


Hint 


6. 
Suppose is an angle in standard position whose terminal side lies in Quadrant II. If , find 


A. 

B. 



C. 

D. 



Hint 


7. 
If P = 27° and r = 11, find p. 





A. 

B. 



C. 

D. 



Hint 


8. 
A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon. 


A. 
about 5.30 cm 
B. 
about 8.09 cm 


C. 
about 18.87 cm 
D. 
about 11.79 cm 


Hint 


9. 
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. 


A. 

B. 



C. 

D. 



Hint 


10. 
A security light is being installed outside a loading dock. The light is mounted 25 feet above the ground. The light must be placed at an angle so that it illuminates a parking lot. If the end of the parking lot is 125 feet from the loading dock, what should be the angle of depression of the light? 


A. 
about 78.7° 
B. 
about 78.5° 


C. 
about 11.3° 
D. 
about 11.5° 


Hint 


11. 
In find c if A = 36°, B = 101°, and b = 42.7. 





A. 
about 31.8 units 
B. 
about 29.7 units 


C. 
about 25.3 units 
D. 
about 40.2 units 


Hint 


12. 
Find the area of if a = 5.2, c = 13.6, and B = 46° 30'. 





A. 
about 25.6 square units 
B. 
about 48.7 square units 


C. 
about 51.3 square units 
D. 
about 24.3 square units 


Hint 


13. 
Determine the number of possible solutions for , given a = 7, b = 3, and A = 115°. 


A. 
none 
B. 
one 


C. 
two 
D. 
three 


Hint 


14. 
Determine the number of possible solutions for , given A = 50°, a = 38, and c = 49. 


A. 
two 
B. 
three 


C. 
one 
D. 
none 


Hint 


15. 
In given a = 22, b = 39 and c = 19, find B. 


A. 
about 36.0° 
B. 
about 144.0° 


C. 
about 54.0° 
D. 
about 126.0° 


Hint 


16. 
Find the area of if a = 5, b = 8, and c = 10. 


A. 
about 7.6 square units 
B. 
about 39.6 square units 


C. 
about 19.8 square units 
D. 
about 15.2 square units 


Hint 

