Quiz about Right Triangle Trigonometry

Question 1

What is the correct set up for the problem to find the measure of the indicated angle?

Accepted Answer

cos X = 28/41

Answer

sin X = 41/28

Answer

tan X = 41/28

Answer

sin X = 28/41

Question 2

If you are given the two sides that are not the hypotenuse, which trig function should you use?

Accepted Answer

tangent

Answer

sine

Answer

cosine

Question 3

Find the length of side y.

Accepted Answer

76.34 cm

Answer

22.32 cm

Answer

36.5 cm

Answer

87.76 cm

Question 4

What is the length of side x?

Accepted Answer

7.44 cm

Answer

6.57 cm

Answer

7 cm

Answer

26.33 cm

Question 5

Find the length of side w.

Accepted Answer

18.0 cm

Answer

21.4 cm

Answer

36.5 cm

Answer

43.6 cm

Question 6

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

Accepted Answer

55.2

Answer

9.4

Answer

20.15

Answer

19.4

Question 7

Solve for x.

Accepted Answer

50.7

Answer

50.1

Answer

60.7

Answer

61.0

Question 8

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 9

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 10

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

Accepted Answer

19 degrees

Answer

20 degrees

Answer

28 degrees

Answer

35 degrees

Question 11

Solve for the misssing distance

Accepted Answer

18.9

Answer

19.5

Answer

47

Answer

27.5

Question 12

Solve for the missing angle.

Accepted Answer

36.9 degrees

Answer

50.5 degrees

Answer

12.7 degrees

Answer

72.2 degrees

Question 13

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 14

A traffic helicopter spots two different accidents. One is east at an angle of depression of 35 degrees. The other is west at an angle of depression of 21 degrees. If the helicopter is 800 feet in the air, how far apart are the accidents?

Accepted Answer

3227 feet

Answer

1142 feet

Answer

2084 feet

Answer

942 feet

Right Triangle Trigonometry

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