Quiz about Right Triangles and Trigonometry Review

Question 1

What is the ratio for Sine?

Accepted Answer

Opposite Leg /  Hypotenuse

Answer

Opposite Leg / Adjacent Leg

Answer

Adjacent Leg / Hypotenuse

Answer

Adjacent Leg / Opposite Leg

Question 2

What is the ratio for Cosine?

Accepted Answer

Adjacent Leg / Hypotenuse

Answer

Opposite Leg / Adjacent Leg

Answer

Opposite Leg / Hypotenuse

Answer

Hypotenuse / Adjacent Leg

Question 3

What is the ratio for Tangent?

Accepted Answer

Opposite Leg / Adjacent Leg

Answer

Adjacent Leg / Opposite Leg

Answer

Adjacent Leg / Hypotenuse

Answer

Opposite Leg / Hypotenuse

Question 4

In Right Triangle ABC with right angle C. If the

Cos A = 9/41, what is the Sin B?

Accepted Answer

9/41

Answer

40/41

Answer

41/9

Answer

40/9

Question 5

In right triangle DEF with right angle D. If
Tan E = 5/12, what is Tan F?

Accepted Answer

12/5

Answer

5/12

Answer

12/13

Answer

13/12

Question 6

Solve for DE

Accepted Answer

7.9

Answer

36.5

Answer

18.8

Answer

8.5

Question 7

Solve for WI

Accepted Answer

7.9

Answer

12.7

Answer

6.2

Answer

16.2

Question 8

A traffic helicopter spots two different accidents. One is east at an angle of elevation of 55 degrees. The other is west at an angle of elevation of 69 degrees. If the helicopter is 800 feet in the air, how far apart are the accidents?

Accepted Answer

3226

Answer

1142

Answer

2084

Answer

942

Question 9

Question 9.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 10

Question 10.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 11

Question 11.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 12

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

Accepted Answer

.4706

Answer

1.875

Answer

.8824

Answer

.5333

Question 13

What is the tangent of angle C?

Accepted Answer

24/7

Answer

7/25

Answer

25/7

Answer

7/24

Question 14

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

Accepted Answer

tangent

Answer

sine

Answer

cosine

Answer

none of these

Question 15

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

Accepted Answer

inverse sine

Answer

inverse cosine

Answer

inverse tangent

Answer

It is not possible to determine m

Question 16

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

Accepted Answer

True

Answer

False

Question 17

How would you find the value of the angle denoted by "?"

Accepted Answer

Apply the inverse cosine

Answer

Apply the inverse sine

Answer

Apply the inverse tangent

Answer

Apply the Pythagorean Theorem

Question 18

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

Accepted Answer

Inverse tangent

Answer

Inverse sine

Answer

Inverse cosine

Answer

Pythagorean Theorem

Question 19

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

Accepted Answer

2000.3 feet

Answer

2007.3 feet

Answer

1997.9 feet

Answer

2134.8 feet

Question 20

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 tall is the enemy castle wall?

Accepted Answer

78.6 meters

Answer

1498.0 meters

Answer

78.5 meters

Answer

75.3 meters

Question 21

Which scenario describes the picture shown?

Accepted Answer

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

Answer

A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?

Answer

A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?

Answer

A 5 foot man is 8 feet away from a building.  What is the angle of elevation?

Question 22

We can use SOH-CAH-TOA for...

Accepted Answer

Right Triangles only

Answer

Any triangle ever

Answer

Non-right triangles only

Answer

Never

Question 23

Which set of side lengths does not form a right triangle?

Accepted Answer

14, 15, 29

Answer

38, 80, 90

Answer

16, 63, 65

Answer

36, 77, 85

Question 24

Which side is the long leg in this 30-60-90 triangle?

Accepted Answer

v

Answer

4

Answer

u

Question 25

A triangle has the following side lengths:
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?

Accepted Answer

Obtuse

Answer

Acute

Answer

Right

Question 26

A triangle has side lengths:
5, 8, 6. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?

Accepted Answer

obtuse

Answer

right

Answer

acute

Question 27

A triangle has side lengths:
20, 21, 28. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?

Accepted Answer

acute

Answer

right

Answer

obtuse

Question 28

1

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 29

2

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 30

3

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 31

What is the measure of angle A?

Accepted Answer

78 degrees

Answer

50 degrees

Answer

60 degrees

Answer

74 degrees

Question 32

Find AC

Accepted Answer

14

Answer

12

Answer

10

Answer

23

Question 33

Find AB

Accepted Answer

8

Answer

10

Answer

6.1

Answer

4.9

Question 34

LoS: Find AB.

Accepted Answer

11.3

Answer

12.3

Answer

13.3

Answer

14.3

Question 35

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 36

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 37

Which of the following formulas shows the Law of Cosines?

Accepted Answer

c² = a² + b² - 2abcosC

Answer

c² = a² + b² - 4ac + cosA

Answer

c² = a² - b² - 2abcosC

Answer

(cos A)/a = (cos B)/b

Question 38

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

Accepted Answer

25.23

Answer

23.19

Answer

22.15

Answer

20.85

Question 39

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

Accepted Answer

131.7 feet

Answer

152.7 feet

Answer

166.3 feet

Answer

157.3 feet

Question 40

Find BC

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 41

Find angle A

Accepted Answer

13.3

Answer

53.6

Answer

113.1

Question 42

What are the possible criteria for the Law of Cosines?

Accepted Answer

SSS, SAS

Answer

SSA, SSS

Answer

SSA, ASA

Answer

AAS, ASA

Question 43

What are the possible criteria for Law of Sines?

Accepted Answer

SSA, ASA, AAS

Answer

AAS, SSS, ASA

Answer

SAS, SSS, ASA

Answer

SAS, AAS, ASA

Question 44

Find the missing side.

Accepted Answer

22.8 in.

Answer

15.9 in.

Answer

19.2 in.

Answer

521.1 in.

Question 45

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?

Accepted Answer

96.36 ft

Answer

9285.73 ft

Answer

24061.81 ft

Answer

155.12 ft

Question 46

Solve for "B" if:

a = 4, b = 5, and c = 8.

Accepted Answer

30.8o

Answer

47.5o

Answer

125.1o

Answer

24.1o

Question 47

Solve for "C" if:

a = 9.4, b = 10, and c = 4.

Accepted Answer

23.5o

Answer

86.7o

Answer

5.8o

Answer

.99o

Right Triangles and Trigonometry Review

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics