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Trig Missing Sides and Angles GCSE FND

Total questions: 21

Worksheet time: 1hrs 21mins

Name
Class
Date
1.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
2.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
73.5
d)
68.6
3.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
4.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
5.

Find the length of the missing side x...


Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

6.

Find the length of the missing side x...


Round your answer to 1 decimal place.

a)

10.3 cm

b)

10.2 cm

c)

17.5 cm

d)

8.6 cm

7.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
8.

Find the length of the missing side x...


Round your answer to 1 decimal place.

a)

8.7 cm

b)

10.2 cm

c)

12.3 cm

d)

8.6 cm

9.

Choose the correct set-up to solve for x.

a)

sin⁡(37)=x14\sin\left(37\right)=\frac{x}{14}

b)

cos⁡(37)=x14\cos\left(37\right)=\frac{x}{14}

c)

tan⁡(37)=x14\tan\left(37\right)=\frac{x}{14}

d)

sin⁡(37)=14x\sin\left(37\right)=\frac{14}{x}

10.

Saul 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

11.
Choose the correct ratio.
a)
sin-1(12/29)
b)
cos-1(12/29)
c)
tan-1(12/29)
d)
tan-1(29/12)
12.
Choose the correct ratio.
a)
sin-1(9/20)
b)
cos-1(9/20)
c)
tan-1(9/20)
d)
cos-1(20/9)
13.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

14.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
15.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
16.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
33°
b)
49°
c)
39°
d)
41°
17.
Find the measure of the angle.  Round to the nearest tenth. 
a)
30.8
b)
32.1
c)
34.3
d)
36.9
18.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
19.
Solve for the missing angle
a)
50.2
b)
93.1
c)
12.6
d)
42.2
20.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
21.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent