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Chapter 8 Geometry

Total questions: 21

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
2.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
3.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
4.
Classify this triangle by it's side lengths.
a)
Right
b)
Pythagorean
c)
Acute
d)
Obtuse
5.
A triangle has side lengths:
5, 14, 12  .  Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
a)
right
b)
acute
c)
obtuse
6.
A triangle has side lengths:
20, 21, 28.  Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
a)
right
b)
acute
c)
obtuse
7.

What is the length of x in this 45-45-90 triangle?

a)

4√2 or 5.66

b)

4

c)

8

d)

4√3 or 6.93

8.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3 or 6.93

b)

u = 4√2 or 5.66 v = 8

c)

u = 16 v = 8

d)

u = 4√3 or 6.93 v = 8

9.
Fill in the blank...
SOH ___ TOA
a)
COH
b)
CAH
c)
COA
d)
CHA
10.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
11.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
12.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
13.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
14.

Find the value of x to the nearest tenth.

a)

44.6

b)

22.7

c)

41.7

d)

38.5

15.

Find the value of x to the nearest tenth.

a)

6.1

b)

18.8

c)

5.5

d)

7.7

16.

Find the value of x to the nearest whole degree.

a)

40

b)

33

c)

57

d)

43

17.
Dustin is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Dustin's mom to Dustin is 73o, how far off the ground is Dustin? 
a)
118.2 ft
b)
120.9 ft
c)
124.3 ft
d)
126.5 ft
18.

How tall is the lighthouse to the nearest tenth of a foot?

a)

17.0

b)

376.4

c)

78.3

d)

16.6

19.

Describe the vector as an ordered pair. Round the coordinates to the nearest tenth.

a)

<16.1, 7.8>

b)

<16.3, 7.3>

c)

<16.9, 7.5>

d)

<16.3, 7.6>

20.

Find the magnitude of the vector. Round the length to the nearest tenth.

Vector:〈-11,5〉

a)

Magnitude: 11

b)

Magnitude: 12

c)

Magnitude: 12.3

d)

Magnitude: 12.1

21.

Find the direction of the vector. Round the degree to the nearest unit.

Vector:〈-11,5〉

a)

56° North of West

b)

66° South of West

c)

24° West of North

d)

24° North of West