Quiz about Trigonometry and Pythagorean theorem

Question 1

The Pythagorean Theorem is
c² = a² - b²

Accepted Answer

false

Answer

true

Question 2

side a on a right triangle is NEVER the shortest side given a²+b² = c²

Accepted Answer

false

Answer

true

Question 3

side a on a right triangle is NEVER the longest side given a²+b² = c²

Accepted Answer

true

Answer

false

Question 4

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

6.2

Question 5

Question 5.

Accepted Answer

43 ft

Answer

28 ft

Answer

38 ft

Answer

49 ft

Question 6

Find h

Accepted Answer

35.71

Answer

35.60

Answer

35.00

Answer

61.03

Question 7

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

Accepted Answer

Yes

Answer

No

Answer

Maybe

Answer

Pythagoras

Question 8

What is the ratio for Sine?

Accepted Answer

Opp/Hyp

Answer

Hyp/Opp

Answer

Opp/Adj

Answer

Adj/Opp

Question 9

What is the ratio for Tangent

Accepted Answer

Opp/Adj

Answer

Adj/Opp

Answer

Opp/Hyp

Answer

Hyp/Opp

Question 10

What is the ratio for Cosine?

Accepted Answer

Adj/Hyp

Answer

Opp/Hyp

Answer

Opp/Adj

Answer

Adj/Opp

Question 11

What is the correct ratio?

Accepted Answer

40/41

Answer

9/41

Answer

9/40

Answer

40/9

Question 12

What is the correct equation to solve for x ?

Accepted Answer

tan (58) = 11/x

Answer

tan (58) = x/11

Answer

cos (58) = x/11

Answer

sin (58) = x/11

Question 13

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

Accepted Answer

Right Triangles only

Answer

Any triangle ever

Answer

Non-right triangles only

Answer

Never

Question 14

Find side AB?

Accepted Answer

8.66 m

Answer

20 m

Answer

5 m

Answer

11.54 m

Question 15

Choose the correct ratio.

Accepted Answer

cos(37)=x/14

Answer

sin(37)=x/14

Answer

tan(37)=x/14

Answer

sin(37)=14/x

Question 16

Find the length of side w.

Accepted Answer

18.0 cm

Answer

21.4 cm

Answer

36.5 cm

Answer

43.6 cm

Question 17

Solve for x.

Accepted Answer

29.75

Answer

24.20

Answer

4.92

Answer

290.4

Question 18

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 19

Solve for x.

Accepted Answer

15.0

Answer

10

Answer

11.3

Answer

12.0

Question 20

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

Accepted Answer

Yes

Answer

No

Question 21

What is the distance from the base of the house to the base of the ladder?

Accepted Answer

5 m

Answer

25 m

Answer

313 m

Answer

17.7 m

Question 22

Solve for x.

Accepted Answer

50.7

Answer

50.1

Answer

60.7

Answer

61.0

Question 23

Solve for the missing angle

Accepted Answer

36.9

Answer

50

Answer

0.053

Answer

95

Question 24

Which set of sides would make a right triangle?

Accepted Answer

5,12,13

Answer

4,5,6

Answer

8,10,12

Answer

5,10,12

Question 25

Find the length of side AB.

Accepted Answer

8.66 m

Answer

20 m

Answer

5 m

Answer

11.54 m

Question 26

Solve for x.

Accepted Answer

15.0

Answer

10

Answer

11.3

Answer

12.0

Question 27

The size of a television screen is measured by the length of the diagonal of the screen.  What size is a television screen that is 3 feet tall and 6 feet wide?

Accepted Answer

6.7

Answer

18

Question 28

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 29

Find the measure of side X.  Round to the nearest tenth.

Accepted Answer

13.8

Answer

12.2

Answer

11.5

Answer

8.8

Question 30

Find the length of the missing side.

Accepted Answer

80 in.

Answer

20 in.

Answer

68 in.

Answer

16 in.

Question 31

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

3

Question 32

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 33

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

Accepted Answer

27 m

Answer

25 m

Answer

26 m

Answer

28 m

Question 34

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

Accepted Answer

10 blocks

Answer

14 blocks

Answer

12 blocks

Answer

8.5 blocks

Question 35

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 36

What is the opposite of squaring a number?

Accepted Answer

square root

Answer

divide

Answer

multiply

Answer

fractions

Question 37

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Answer

37 miles

Question 38

Question 38.

Accepted Answer

9.2 in

Answer

11 in

Answer

13 in

Answer

9.6 in

Question 39

The measure of the missing side of a right triangle if one leg is 6 cm and the hypotenuse is 10 cm.

Accepted Answer

8 cm

Answer

7 cm

Answer

9 cm

Answer

10 cm

Question 40

A triangle has sides 8cm, 15 cm, 19 cm. Is this a right triangle?

Accepted Answer

No

Answer

Yes, the hypotenuse is 19 cm

Answer

Yes, the hypotenuse is 15 cm

Answer

Yes, the shortest leg is 8 cm

Question 41

The measure of the hypotenuse of a right triangle with legs of 11 cm and 60 cm.

Accepted Answer

61 cm

Answer

62 cm

Answer

63 cm

Answer

64 cm

Question 42

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree.

Accepted Answer

87 ft

Answer

63 ft

Answer

65 ft

Answer

74 ft

Question 43

Solve for the missing angle.

Accepted Answer

36.9

Answer

50

Answer

0.053

Answer

95

Question 44

Solve for the missing distance.

Accepted Answer

18.9

Answer

19.5

Answer

47

Answer

27.5

Question 45

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 46

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?

Accepted Answer

10 feet

Answer

8 feet

Answer

5.29 feet

Answer

14 feet

Question 47

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?

Accepted Answer

71.29

Answer

19.80

Answer

18.71

Answer

70.20

Question 48

What kind of triangles does the Pythagorean Theorem work with?

Accepted Answer

Right

Answer

Left

Answer

Isosceles

Answer

Equilateral

Question 49

What is the side from point A to point B called?

Accepted Answer

Hypotenuse

Answer

Opposite

Answer

Adjacent

Question 50

If you add side a and b together... does it equal c?

Accepted Answer

Yes

Answer

No Way

Answer

Maybe

Question 51

To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

Accepted Answer

22

Answer

35

Answer

58

Answer

75

Question 52

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

Accepted Answer

5.3 m

Answer

5.2 m

Answer

5.7 m

Answer

5.8 m

Question 53

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

Accepted Answer

5.3 m

Answer

5.2 m

Answer

5.7 m

Answer

5.8 m

Question 54

Which trig ratio uses the adjacent side and the opposite side?

Accepted Answer

tangent

Answer

sine

Answer

cosine

Trigonometry and Pythagorean theorem

55 questions

The Pythagorean Theorem is
c² = a² - b²

side a on a right triangle is NEVER the shortest side given a²+b² = c²

side a on a right triangle is NEVER the longest side given a²+b² = c²

_{^{Find the missing side}}

Find h

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

What is the ratio for Sine?

What is the ratio for Tangent

What is the ratio for Cosine?

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Trigonometry and Pythagorean theorem

55 questions

The Pythagorean Theorem isc2 = a2 - b2

side a on a right triangle is NEVER the shortest side given a2 +b2 = c2

side a on a right triangle is NEVER the longest side given a2 +b2 = c2

Find the missing side

Find h

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

What is the ratio for Sine?

What is the ratio for Tangent

What is the ratio for Cosine?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The Pythagorean Theorem is
c² = a² - b²

side a on a right triangle is NEVER the shortest side given a²+b² = c²

side a on a right triangle is NEVER the longest side given a²+b² = c²

_{^{Find the missing side}}