Free Printable RETRY DAY 2 [Right Triangle Trigonometry]

1.

Which part of the right triangle is side BC?

a)

hypotenuse

b)

opposite

c)

adjacent

2.

Which part of the right triangle is side AC?

a)

hypotenuse

b)

opposite

c)

adjacent

3.

Which part of the right triangle is side AB?

a)

hypotenuse

b)

opposite

c)

adjacent

4.

What is the correct trigonometric ratio for the sine of A?

a)

b)

c)

5.

What is the correct trigonometric ratio for the cosine of B?

a)

b)

c)

6.

What is the correct trigonometric ratio for the tangent of A?

a)

b)

c)

7.

What is the correct trigonometric ratio for the sine of B?

a)

b)

c)

8.

Find the length of the missing side to the nearest tenth.

a)

10.1

b)

10.9

c)

25.0

d)

29.1

9.

Find the length of the missing side to the nearest tenth.

a)

4.8

b)

6.4

c)

10.0

d)

13.3

10.

Find the measure of the angle to the nearest degree.

a)

18^o

b)

19^o

c)

20^o

d)

71^o

11.

Find the measure of the angle to the nearest degree.

a)

14^o

b)

27^o

c)

44^o

d)

76^o

12.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

13.

What is the value of "y" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

14.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

15.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

16.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

17.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

a)

6

b)

8

c)

10

d)

not possible to determine

18.

Consider angle B in the diagram below.

What is the length of "adjacent side" to angle <B?

a)

6

b)

8

c)

10

d)

not possible to determine

19.

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

a)

sine

b)

cosine

c)

tangent

d)

none of these

20.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

21.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

22.

Which trig ratio or formula should you use to find "b"?

a)

sin(25)

b)

cos(25)

c)

tan(25)

d)

Pythagorean Theorem

23.

What is the most efficient way to find "y"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

24.

Find m∠N

a)

14

b)

65

c)

76

d)

53

25.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

26.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

27.

A pilot looks down and sees the runway approaching. The angle between the plane's diagonal and vertical line of sight is 80°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?

a)

1410.6

b)

1389.2

c)

5671.3

d)

7878.5

28.

Which trigonometric ratio would you use to solve for x?

a)

Sine

b)

Cosine

c)

Tangent

d)

None

29.

Which trigonometric equation would correctly solve for x?

a)

$x=15\sin\left(41\right)$

b)

$x=15\cos\left(41\right)$

c)

$x=\frac{15}{\cos\left(41\right)}$

d)

$x=15\tan\left(41\right)$

e)

$x=\frac{15}{\tan\left(41\right)}$

30.

Which trigonometric equation would correctly solve for x?

a)

$\sin\left(54\right)=\frac{x}{19}$

b)

$\sin\left(54\right)=\frac{19}{x}$

c)

$\cos\left(54\right)=\frac{x}{19}$

d)

$\tan\left(54\right)=\frac{19}{x}$

e)

$\tan\left(54\right)=\frac{x}{19}$

31.

Which trigonometric equation would correctly solve for x?

a)

$x=19\sin\left(29\right)$

b)

$x=\frac{19}{\sin\left(29\right)}$

c)

$x=19\cos\left(29\right)$

d)

$x=19\tan\left(29\right)$

e)

$x=\frac{19}{\tan\left(29\right)}$

32.

Which trigonometric equation would correctly solve for x?

a)

$\cos\left(73\right)=\frac{x}{19}$

b)

$\cos\left(73\right)=\frac{19}{x}$

c)

$\sin\left(73\right)=\frac{19}{x}$

d)

$\sin\left(73\right)=\frac{x}{19}$

e)

$\tan\left(73\right)=\frac{x}{19}$

33.

Which trigonometric equation would correctly solve for x?

a)

$x=\frac{7}{\sin\left(48\right)}$

b)

$x=7\cos\left(48\right)$

c)

$x=\frac{7}{\cos\left(48\right)}$

d)

$x=7\ \tan\left(48\right)$

e)

$x=\frac{7}{\tan\left(48\right)}$

34.

Solve for x.

Round your answer to the nearest tenth.

(a)

35.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

36.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

37.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

38.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

39.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

40.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

41.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

42.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

43.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

44.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

45.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

46.

Which are better?

a)

cats

b)

people

c)

fish

d)

DOGS!!!!

RETRY DAY 2 [Right Triangle Trigonometry]

Total questions: 46

Worksheet time: 12hrs 30mins

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