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Quiz trigonometry and angles and tangent 23 nov

Total questions: 30

Worksheet time: 3hrs 52mins

Name
Class
Date
1.
 FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
2.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
3.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
4.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
5.

What side is this called?

a)

Hypotnuse

b)

Opposite

c)

Adjacent

6.

What is the value of b?

a)

13.11

b)

34.67

c)

12.54

d)

1.59

7.

What is the value of e?

a)

2.35

b)

5.65

c)

9.23

d)

8.75

8.

What is the length of BC?

a)

8.66 cm

b)

2.59 cm

c)

0 cm

d)

8.44 cm

9.

Calculate angle DAC.

a)

32.11

b)

16.92

c)

14.25

d)

12.07

10.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
11.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
12.
Sin 45
a)
1⁄2
b)
√2⁄2
c)
√3⁄2
d)
0
13.
Cos 60
a)
√2/2
b)
0
c)
√3⁄2
d)
1/2
14.
Tan 60
a)
√3⁄3
b)
√3
c)
0
d)
1
15.
Solve for a and b in the special right triangle.
a)
a = 5, b = 5
b)
a = 10, b = 10√2
c)
a = 10√2, b = 10√2
d)
a = 5√2, b = 5√2
16.
Find m∠DAR.
a)
34⁰
b)
17⁰
c)
68⁰
d)
136⁰
17.
What are the values of x and y?
a)
x=75°; y=93°
b)
x=65°;y=104°
c)
x=75°; y=94°
d)
x=65°; y=93
18.
Find measure of angle R.
a)
24
b)
41
c)
67
d)
139
19.
What is the value of y?
a)
27
b)
54
c)
108
d)
540
20.
What is the measure of angle QRP?
a)
23
b)
24
c)
22
d)
21
21.
Find angle F
a)
7
b)
90
c)
45
d)
30
22.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
23.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
24.
a)

∠APB + ∠AQB = 180°

b)

∠APB + ∠AQB = 90°

c)

∠APB = ∠AQB

d)

None of the above

25.

Which shows a tangent line?

a)
b)
c)
d)
26.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

27.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

28.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

29.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

16 in

b)

8 in

c)

11 in

d)

6 in

30.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

Titik O ialah pusat bulatan. Andaikan garis adalah tangen. Apakah nilai bagi pembolehubah x?

a)

22

b)

28

c)

34

d)

40