# Unit 5 (Chapter 12) review

Honors Algebra 2
Unit 7 Review
Name ______________________
I. Use Law of Sines, Law of Cosines, or SOHCAHTOA to find the missing piece.
1. Find x
2. Find x
x
6
5
3
30
x
4
9
4. Find c if C = 60˚, a = 15, b = 12
3. Find x
22
22
x
35
5. Susie was standing at an unknown distance from a very tall building. The angle of elevation from that point is 58&ordm;. If she
moves 20 feet closer, the angle of elevation becomes 65&ordm;. Use that information to find the height of the building.
II. Evaluate without using a calculator
6. cos (180˚)
11, sin
7. sec(-30˚)
S
8. cot (495˚)
9. sin (
7
)
6
58
20
65
10. tan ( 

4
2
 15 
 5 
cos 
  tan  

3
 4 
 3 
12. sin-1 (
2
)
2
13. sin-1 (1)
14. tan-1 (
3)
17. Find the arc length. given a radius of 4 ft, and a central angle of 240
15. cos-1 (
3
)
2
16. tan-1 (0)
)
18. Big Ben is a famous clock in England. The minute hand of Big Ben is 4.2 meters long How far would the tip of the minute
hand move from 6 PM to 10 PM? Express your answer in terms of π.
19. Find the area of ABC given a = 17, b = 23, c = 28
20. A boat travels 50 miles due east before adjusting its course 25 north of east and traveling an additional 35 miles. How far is
the boat from its point of departure?
21. Given point A(-4, -8) is a point on the terminal side of  in standard position. Find the exact value of the 6 trig functions for 𝜃.
22. What are the amplitude and period and midline of the function below. Then write a possible equation for the function.
23. Your lucky number appears at the very bottom of a vertical number wheel with a radius of 2 feet. The wheel is positioned 6
feet above the ground, and is rotation at a rate of 120 revolutions per minute. Write a model of the height h (in feet) of your lucky
number as a function of time t (in seconds.)
Graph each function. Be sure to label your axes.
24. y  3 sin 2  1
1 

4 
25. y  2 tan 