Download Chap 8 study guide

Geometry Chapter 8 Study Guide
Name: _________________ Per: ______
NO CALCULATOR SECTION—Solve each problem in this section
without a calculator!!
For #1-6, find the value of each variable. If your answer is not an integer, leave it in simplest
radical (root) form.
2.
3.
1.
60
y
x
12
x
5
6
x
9
4.
y
5.
6.
x
30
60
y
26 cm
x
45
8 ft
12 2
x
For #7-9, the lengths of the sides of a triangle are given. Classify each triangle as acute, right, or
obtuse.
7. 20, 30, 40
8. 10, 15, 12
9. 41, 9, 40
For questions 10-15, find the indicated trigonometric ratio as a reduced fraction.
B
10. sin A
11. tan B
E
12. cos A
14. sin D
13. cos D
34
30
20
16
15. tan E
C
16
A
D
12
F
For questions 16-17, draw a diagram and solve for the missing information. Leave your answer
in simplest radical (root) form.
16. The perimeter of an equilateral triangle is 33 cm. Find the length of the height of the triangle.
17. A square has a 60-cm diagonal. How long is each side of the square?
For #18-19, draw a diagram and complete:
7
18. If cos A  find sin A as a simplified fraction.
8
19. If tan D 
9
, find sin D as a simplified fraction.
12
For #20-25, simplify each radical expression as much as possible.
21. 32  3 72
3
20.
4 8
22.
24.
24  18
6 18
5 32
23. 8 12  4 27
25.
 7

24 2 45

For questions 26-27, solve using the quadratic formula.
26. 3x + 5 = 8x2
27. 2x2 + 10x = 17
CALCULATOR SECTION—Solve each problem in this section with a
calculator and/or with a trig table.
28.
For questions 28-30, find the value of x. Round all measures to the nearest tenth.
29.
30.
54
x
x
x
32
48
16
8
5
31.
For questions 31-33, find each angle to the nearest degree.
32.
12
33.
12
40
x
5
x
16
x
32
For questions 34-37, draw yourself a picture for each situation, set up an equation, & then solve
the problem to the nearest tenth.
34. The angle of elevation from point A (on the ground) to the top of a hill is 49  . If point A is 400
feet from the base/bottom of the hill, how high is the hill?
35. From her position in a hot-air balloon, Angie can see her car parked in a field. If the angle of
depression from Angie’s eyes to her car is 8  and Angie’s eyes are 38 meters above the ground, what
is the distance from Angie’s eyes to her car?
36. From the top of a 120-foot-high tower, an air traffic controller observes an airplane on the runway
at an angle of depression of 19  . How far from the base of the tower is the plane?
37. Suppose the sun casts a shadow off a 35 foot building. If the angle of elevation from the end of the
shadow to the sun is 60  , how long is the shadow?