Quiz about Pythagorean Theorem and Trig Ratios

Question 1

Find x round to the nearest tenth.

Accepted Answer

26.9

Answer

46.1

Answer

4.9

Answer

16.4

Question 2

Solve for the misssing distance

Accepted Answer

18.9

Answer

19.5

Answer

47

Answer

27.5

Question 3

Find x round to the nearest tenth.

Accepted Answer

26.9

Answer

46.1

Answer

4.9

Answer

16.4

Question 4

Solve for x. Round to the nearest tenth.

Accepted Answer

103.5

Answer

4.7

Answer

55.0

Answer

23.4

Question 5

Solve for x. Round to the nearest tenth.

Accepted Answer

9.9

Answer

9.8

Answer

0.1

Answer

0.038

Question 6

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 7

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 nearest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 8

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?

Accepted Answer

30 ft

Answer

7.5 ft

Answer

15 ft

Answer

26 ft

Question 9

Which one is the easy way to remember trigonometric ratios?

Accepted Answer

Soh Cah Toa

Answer

Sah Coh Toa

Answer

Soh Cah Tao

Answer

Soh Ceh Toa

Question 10

Question 10.

Accepted Answer

27/36

Answer

27/45

Answer

45/36

Answer

45/27

Question 11

Question 11.

Accepted Answer

24/30

Answer

18/30

Answer

18/24

Answer

24/18

Question 12

Question 12.

Accepted Answer

14/50

Answer

14/48

Answer

48/50

Answer

48/14

Question 13

Find the measurement of the missing side indicated

Accepted Answer

2.05

Answer

4.39

Answer

3.21

Answer

2.19

Question 14

Give the Ratio for TAN X

Accepted Answer

Opp/Adj

Answer

Adj/Opp

Answer

Adj/Hyp

Answer

Opp/Hyp

Question 15

Give the Ratio for COS X

Accepted Answer

Adj/Hyp

Answer

Opp/Adj

Answer

Adj/Opp

Answer

Opp/Hyp

Question 16

Give the Ratio for SIN X

Accepted Answer

Answer

opp/adj

Answer

Adj/hyp

Answer

adj/opp

Question 17

Find the measurement of the missing side indicated

Accepted Answer

2.05

Answer

4.39

Answer

3.21

Answer

2.19

Question 18

Find the measurement of the missing side indicated

Accepted Answer

5.98

Answer

4.98

Answer

3.20

Answer

4.18

Question 19

Choose the correct ratio.

Accepted Answer

sin(33)=x/14

Answer

cos(33)=x/14

Answer

cos(33)=14/x

Answer

sin(33)=14/x

Question 20

Question 20.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 21

Solve for x.

Accepted Answer

29.75

Answer

24.20

Answer

4.92

Answer

290.4

Question 22

Question 22.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 23

Choose the correct ratio.

Accepted Answer

sin(33)=x/14

Answer

cos(33)=x/14

Answer

cos(33)=14/x

Answer

sin(33)=14/x

Question 24

How do you know which side is the OPPOSITE?

Accepted Answer

It is opposite the theta

Answer

It is next to the right angle

Answer

It is opposite the right angle

Answer

It is the bottom leg of the triangle

Question 25

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 26

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 27

The Pythagorean Theorem is
a² + b²+ c²

Accepted Answer

false

Answer

true

Question 28

_{^{Find the missing side}}

Accepted Answer

72

Answer

48

Answer

108

Answer

83.6

Question 29

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

3

Question 30

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 31

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

42 miles

Answer

37 miles

Question 32

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?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Answer

28 feet

Question 33

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

Accepted Answer

111.8 yards

Answer

115 yards

Answer

127.3 yards

Answer

119 yards

Question 34

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

Accepted Answer

10

Answer

14

Answer

5.3

Answer

2

Question 35

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?

Accepted Answer

13.6 in

Answer

7.5 in

Answer

12.4 in

Answer

14.3 in

Question 36

What is the diagonal length of the iPad?

Accepted Answer

9.2 in

Answer

11 in

Answer

13 in

Answer

9.6 in

Question 37

What is the length of x?

Accepted Answer

5

Answer

7

Answer

8

Answer

25

Question 38

What is the longest side of a right triangle called?

Accepted Answer

C. Hypotenuse

Answer

A. Leg A

Answer

B. Leg B

Answer

D. Pythagorean Theorem

Question 39

If a triangle has a side a=5 and b=12, what is c?

Accepted Answer

13

Answer

10

Answer

17

Answer

169

Question 40

Question 40.

Accepted Answer

The top of the ladder is 8.9 ft from the ground

Answer

The top of the ladder is 9.2 ft from the ground

Answer

The top of the ladder is 16.5 ft from the ground

Answer

The top o the ladder is 14.4 ft from the ground

Question 41

Question 41.

Accepted Answer

The diagonal is 20.12 cm

Answer

The diagonal is 15.59 cm

Answer

The diagonal is 21.43 cm

Answer

The diagonal is 15.31 cm

Question 42

Which equation can be used to solve the word problem: A TV is 40 inches (diagonally) and the height is 30 inches.  How wide is the TV?

Accepted Answer

30² + b² = 40²

Answer

30² + 40² = c²

Answer

a² + 40² = 30²

Answer

40² + 30² = c²

Question 43

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

Accepted Answer

150 m

Answer

210 m

Answer

180 m

Answer

79 m

Pythagorean Theorem and Trig Ratios

45 questions

What equation can be used to solve for x?

Find x round to the nearest tenth.

Solve for the misssing distance

Find x round to the nearest tenth.

Solve for x. Round to the nearest tenth.

Solve for x. Round to the nearest tenth.

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 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 nearest to the height of the lighthouse?

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?

Which one is the easy way to remember trigonometric ratios?

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