Free Printable G.8 Study Guide

1.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

2.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

3.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

4.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

5.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

a)

right

b)

obtuse

c)

acute

6.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

7.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

8.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

9.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

10.

If you are given two parts of an obtuse triangle, which trig function should you use to find other missing parts?

a)

sine

b)

cosine

c)

tangent

d)

You can only use SOHCAHTOA rules on right triangles.

11.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

12.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

13.

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 ft

b)

15 ft

c)

26 ft

d)

30 ft

14.

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

15.

Solve for x.

a)

17.2

b)

27.1

c)

8.3

d)

30.9

16.

Solve for x.

a)

25

b)

65

c)

error

d)

.0074

17.

Solve for x.

a)

50

b)

40

c)

41

d)

49

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.

Calculate the value of h in the figure above.

a)

h = 35.60

b)

h = 35.00

c)

h = 35.71

d)

h = 61.03

20.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

21.

Does the set of numbers form a right triangle?

15, 20, 25

a)

Yes

b)

No

22.

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

a)

4√2

b)

4

c)

8

d)

4√3

23.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

24.

Which is the length of v in this 30-60-90 triangle?

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

25.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

26.

What is y in this 30-60-90 triangle?

a)

$y=6$

b)

$y=3\sqrt{2}$

c)

$y=3\sqrt{3}$

d)

$y=\frac{3}{\sqrt{3}}$

27.

What is the length of x in this triangle?

a)

14

b)

$7\sqrt{3}$

c)

3.5

d)

$\frac{14}{\sqrt{3}}$

28.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

29.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

30.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

31.

Larry attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?

a)

352 feet

b)

31.6 feet

c)

44 feet

d)

6.6 feet

32.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

33.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

34.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

35.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

36.

Tell whether each triangle is acute, right or obtuse

sides 9 ft, 20 ft, 14 ft

a)

acute

b)

right

c)

obtuse

37.

Tell whether each triangle is acute, right or obtuse

sides 15 cm, 8 cm, 17 cm

a)

acute

b)

right

c)

obtuse

38.

Tell whether each triangle is acute, right or obtuse

sides 12 in, 10 in, 8 in

a)

acute

b)

right

c)

obtuse

39.

Find the value of x.

a)

2√5

b)

3√5

c)

4√5

d)

10√5

40.

Match the following

a)

$c^2=a^2+b^2$

1.

Right Triangle

b)

$c^2>a^2+b^2$

2.

Obtuse Triangle

c)

$c^2<a^2+b^2$

3.

Acute Triangle

G.8 Study Guide

Total questions: 40

Worksheet time: 9hrs 49mins

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