Quiz about trigonometry and pythagorean theorem

Question 1

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

Accepted Answer

Yes

Answer

No

Question 2

Solve for x.

Accepted Answer

50.7

Answer

50.1

Answer

60.7

Answer

61.0

Question 3

Solve for the missing angle

Accepted Answer

36.9

Answer

50

Answer

0.053

Answer

95

Question 4

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 5

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 6

Solve for x.

Accepted Answer

15.0

Answer

10

Answer

11.3

Answer

12.0

Question 7

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 8

The Pythagorean Theorem is
c² = a² - b²

Accepted Answer

false

Answer

true

Question 9

side a on a right triangle is NEVER the longest side

Accepted Answer

true

Answer

false

Question 10

What is the ratio for Sine?

Accepted Answer

Opp/Hyp

Answer

Hyp/Opp

Answer

Opp/Adj

Answer

Adj/Opp

Question 11

What is the ratio for Tangent

Accepted Answer

Opp/Adj

Answer

Adj/Opp

Answer

Opp/Hyp

Answer

Hyp/Opp

Question 12

What is the ratio for Cosine?

Accepted Answer

Adj/Hyp

Answer

Opp/Hyp

Answer

Opp/Adj

Answer

Adj/Opp

Question 13

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 14

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

Accepted Answer

Right Triangles only

Answer

Any triangle ever

Answer

Non-right triangles only

Answer

Never

Question 15

Find the length of side w.

Accepted Answer

18.0 cm

Answer

21.4 cm

Answer

36.5 cm

Answer

43.6 cm

Question 16

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 17

A triangle's angles add up to...

Accepted Answer

180 Degrees

Answer

90 Degrees

Answer

360 Degrees

Answer

OVER 9000 Degrees

Question 18

Find h

Accepted Answer

35.71

Answer

35.60

Answer

35.00

Answer

61.03

Question 19

Find side AB?

Accepted Answer

8.66 m

Answer

20 m

Answer

5 m

Answer

11.54 m

Question 20

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 21

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 22

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 23

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 24

Solve for the missing distance.

Accepted Answer

18.9

Answer

19.5

Answer

47

Answer

27.5

Question 25

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

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