Free Printable 3Exp Chapter 7

1.

Find the value of a.

a)

13.4

b)

12.9

c)

13.1

d)

12.8

2.

Find the value of c.

a)

24.2

b)

31.0

c)

15.2

d)

19.4

3.

Find angle A?

a)

50.0 $\degree$

b)

60.6 $\degree$

c)

77.8 $\degree$

d)

74.5 $\degree$

4.

Find angle θ.

a)

28.0 $\degree$

b)

29.2 $\degree$

c)

26.8 $\degree$

d)

45.0 $\degree$

5.

Amanda and Jamie are standing 25 feet apart and they spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55 $\degree$ , and from Jamie to the bird is 63 $\degree$ . How far away is the bird from Amanda?

a)

20.9 feet

b)

23.2 feet

c)

22.2 feet

d)

25.2 feet

6.

What rule should you use?

a)

Sine

b)

Cosine

7.

Which of the following formulas is the Cosine rule?

a)

$c^2=a^2+b^2-4ac+\cos A$

b)

$c^2=a^2-b^2-2ab\cos C$

c)

$c^2=a^2+b^2-2ab\cos C$

d)

$\frac{\cos A}{A}=\frac{\cos B}{B}=\frac{\cos C}{C}$

8.

Find the unknown side length, c.

a)

6.52 units

b)

6.38 units

c)

6.91 units

d)

6.67 units

9.

In the ABC we have AB = 5 cm, AC = 6 cm, $\angle A$ = 60°. Find the length of the side BC.

a)

√31 cm

b)

√29 cm

c)

√25 cm

d)

√15 cm

10.

We can use SOH CAH TOA for...

a)

any triangles

b)

Non-right-angled triangles only

c)

Right-angled triangles only

d)

any shapes

11.

if a = 3 cm, b = 12 cm, and c = 4 cm, what is the length of d?

a)

12.7 cm

b)

5 cm

c)

13 cm

d)

12 cm

12.

Find the value of x.

a)

44.4

b)

37.5

c)

38.2

d)

41.8

13.

Find the area of ABC to the nearest tenth.

a)

62.3 units²

b)

124.6 units²

c)

77.0 units²

d)

100.0 units²

14.

Find the area of $\Delta ABC$
if a = 9cm, b = 11cm, c = 16cm

a)

52.1 cm $\ ^2$

b)

89.5 cm $\ ^2$

c)

47.6 cm $\ ^2$

d)

15.2 cm $\ ^2$

15.

Find Area of ABC

a)

224 units²

b)

73.1 units²

c)

52.7 units²

d)

3.36 units²

16.

If the sides of a triangle are 12,5, and 2. What is the area?

a)

30 cm²

b)

40.7 cm²

c)

19 cm²

d)

This triangle does not exist

17.

Fernando wants to find the height of an oak tree. If Fernando stands 85 feet away from the tree, and his eye line is 6 feet from the ground, then how tall is the tree?
Round your answer to the nearest foot. (angle in diagram is 34 $\degree$ )

a)

111

b)

117

c)

62

d)

68

18.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

19.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 feet

b)

15 feet

c)

26 feet

d)

30 feet

20.

Find the bearing of X from Y.

a)

215°

b)

035°

c)

030°

d)

145°

21.

Find the bearing of A from B.

a)

304°

b)

044°

c)

144°

d)

056°

22.

Find the bearing of B from A.

a)

025°

b)

205°

c)

335°

d)

155°

23.

Find the Bearing of A from B.

a)

030°

b)

130°

c)

045°

d)

135°

24.

Find the Bearing of B from A.

a)

090°

b)

225°

c)

045°

d)

135°

25.

Find the bearing of C from A.

a)

030°

b)

225°

c)

045°

d)

135°

26.

Find the correct bearing of plane from A.

a)

090°

b)

330°

c)

030°

d)

060°

27.

In the diagram, K, L and M are three points on the flat ground. Given that KLM is an equilateral triangle, find the bearing of L from M.

a)

068°

b)

128°

c)

188°

d)

248°

28.

E, F and G lie on the earth’s surface. Find the bearing of G from F.

a)

028°

b)

105°

c)

208°

d)

255°

29.

The bearing of U from V is 150^o. Find the bearing of T from U.

a)

351°

b)

330°

c)

171°

d)

009°

30.

The bearing of A from B is 028°. Find the bearing of C from A.

a)

064°

b)

144°

c)

152°

d)

208°

31.

Find the bearing of C from B.

a)

045°

b)

225°

c)

075°

d)

135°

32.

Find the bearing of B from C.

a)

315°

b)

255°

c)

225°

d)

245°

33.

TC is perpendicular to

(a)

34.

Triangle ABC is a right-angled triangle.

a)

yes

b)

no

35.

Angle BAC is = (a)

36.

Which of the following is correct?

a)

$\frac{AC}{\sin75}=\frac{30}{\sin45}$

b)

$\frac{AC}{\sin75}=\frac{30}{\sin60}$

c)

$\sin75=\frac{AC}{60}$

d)

$\cos45=\frac{AC}{30}$

37.

Find the width of the base to the nearest whole number.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

38.

The measurements for a rectangular box are L = 143 cm, W = 24 cm and H = 22 cm. Harry would like to ship his wand in this box. His wand is 146 cm long. Can he fit his wand in this box?

a)

Yes

b)

No

39.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

40.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

41.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

42.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

43.

Find the length of d

a)

19

b)

17

c)

12

d)

25

44.

True or False

a)

T

b)

F

45.

Find the height of SUR to 3 s.f.

a)

3.46 cm

b)

3.36 cm

c)

2.87 cm

d)

5.46 cm

46.

Find the height of the right pyramid with square base to 2 s.f.

a)

11 cm

b)

9.7 cm

c)

8.6 cm

d)

12 cm

47.

Calculate the missing angle $\theta$ to 1 d.p.

a)

49.3

b)

50.1

c)

49.0

d)

43.9

48.

Calculate AG to 3 s.f.

a)

8.66

b)

8.7

c)

9.02

d)

25.1

49.

Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73^o, how far off the ground is Jordan?

a)

118 ft

b)

121 ft

c)

124 ft

d)

127 ft

50.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How high do you need to be to go over the wall?

a)

78.6 meters

b)

>78.6 meters

c)

78.5 meters

d)

<78.6 meters

3Exp Chapter 7

Total questions: 50

Worksheet time: 2hrs 2mins

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