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Right Triangle Trig. Geometry EOC 70 ?'s

Total questions: 70

Worksheet time: 3hrs 36mins

Name
Class
Date
1.

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

a)

.4706

b)

1.875

c)

.8824

d)

.5333

e)

61.92

2.

Choose all of the correct ratios for the triangle in the picture

a)

Sin (B) =21/29

b)

Sin (B) =20/29

c)

Cos (A) =21/29

d)

Tan (B) =21/29

e)

Tan (A) =21/20

3.

Which is the calculator ready form to solve this problem for x?

a)

22 Tan (12)

b)

12 tan (22)

c)

tan(12) / 22

d)

22/ tan (12)

e)

none of the above

4.

cos 40⁰ = ?

a)

sin 50⁰

b)

cos 50⁰

c)

tan 50⁰

d)

sin 40⁰

e)

tan 40⁰

5.

Find the measure of the missing angle.

a)

49o

b)

50o

c)

41o

d)

33o

e)

57o

6.

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.

a)

19 degrees

b)

20 degrees

c)

45 degrees

d)

70 degrees

e)

71 degrees

7.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

e)

34.1

8.

Solve for the missing distance for the depth of the anchor.

a)

18.9 m

b)

19.5 m

c)

47 m

d)

27.5 m

e)

24.3 m

9.

Which of the following is the calculator ready form to solve the height of the airplane?

a)

1000Sin(60)

b)

1000/Sin(60)

c)

1000Cos(60)

d)

1000/Cos(60)

e)

1000/Tan(60)

10.

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)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

e)

125 ft

11.

Henry knows the angle of depression from the lookout and also knows from that angle it is 45 feet in the air. About how far is he from the middle of the lookout tower?

a)

30 feet

b)

45 feet

c)

38 feet

d)

54 feet

e)

59 feet

12.

A princess is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands 15 feet from the base of the tower and looks up at her, the angle of elevation to her window is 60 degrees. How long does the ladder have to be?

a)

30 feet

b)

17.3 feet

c)

8.7 feet

d)

7.5 feet

e)

26.0 feet

13.

Jose would like to know the height of the brick building shown in the picture, if the angle of elevation is 50 degrees and he is 36 feet from the building. Which of these is the calculator ready expression to find the building height?

a)

36 Sin (50)

b)

36 Tan (50)

c)

36 Sin (50) + 6

d)

36 Tan (50) + 6

e)

36 Cos (50) + 6

14.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

e)

4.7

15.

Find m∠S

a)

21

b)

69

c)

23

d)

67

e)

5/13

16.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

e)

8.0

17.

A pilot looks down and sees the runway at an angle of depression of 10°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?

a)

1410.6

b)

1389.2

c)

5671.3

d)

7878.5

e)

888.8

18.

You decide to go to the city for a day of fun. You happen to be standing 30 feet away from a building that is 645 feet tall. What is your angle of elevation to the top of the building?

a)

87.3

b)

2.6

c)

79.1

d)

84.6

e)

5.4

19.

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?

a)

1142

b)

2084

c)

3226

d)

942

e)

4168

20.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

e)

7 / 24

21.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

e)

7 / 24

22.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

e)

7 / 24

23.

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

a)

sine

b)

cosine

c)

tangent

d)

none of these

e)

pythagorean theorem

24.

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

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

e)

pythagorean theorem

25.

Which is the best strategy to use for finding the length of the missing side?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

e)

not enough information

26.

Which trig ratio or function should you use to find the value of "h"?

a)

sine

b)

cosine

c)

tangent

d)

an inverse trig function

e)

pythagorean theorem

27.

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

a)

Inverse sine

b)

sine

c)

Inverse tangent

d)

pythagorean theorem

e)

tangent

28.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

e)

6.66 m

29.

Choose the correct ratio in calculator ready form:

a)

14 sin (37)

b)

14 cos (37)

c)

14 / (tan 37)

d)

14 / (sin 37)

e)

14 / (cos 37)

30.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

e)

23.5 cm

31.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

e)

172+172=x2

32.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Pythagorean Theorem

e)

Inverse Tangent

33.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

180 - 90- 50 = r

e)

Pythagorean Theorem

34.

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.

a)

19 degrees

b)

20 degrees

c)

28 degrees

d)

35 degrees

e)

70 degrees

35.

Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?

a)

3216.76 feet

b)

633.93 feet

c)

699.46 feet

d)

3549.30 feet

e)

1655.07 feet

36.

A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards lower than the green and the angle of elevation from the tee to the hole is 12°, find the distance from the tee to the hole in feet.

a)

173.15 feet

b)

7.48 feet

c)

22.95 feet

d)

508.11 feet

e)

519.45 feet

37.

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)

60 feet

b)

45 feet

c)

100 feet

d)

135 feet

e)

44 feet

38.

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower

a)

18.01 m

b)

29.89 m

c)

13.38 m

d)

22.21 m

e)

26.91 m

39.

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)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

e)

93 ft

40.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

20 degrees

e)

70 degrees

41.

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?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

e)

13 ft

42.

An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?

a)

5.71

b)

16.70

c)

17.46

d)

21.84

e)

5.74

43.

Which trigonometric ratio are correct for the triangle? (select all that apply)

a)

sin A = c/b

b)

sin A = a/c

c)

tan A = a/b

d)

cos B = a/c

e)

cos A = a/c

44.

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

a)

31.5 feet

b)

24.6 feet

c)

51.2 feet

d)

57.4 feet

e)

65.0 feet

45.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
e)

x= 59

46.

Set up an equation that could be used to solve for the variable. Choose all answers that are true

a)
b)
c)
d)
e)

x = 12.88

47.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
e)

None of the above, cosine must be used to solve this triangle.

48.

Set up an equation that could be used to solve for the variable, place your answer in calculator ready form

a)

x= 10.3 Sin (37)

b)

x= 10.3 / (Sin (37))

c)

x= 10.3 / Cos (37)

d)

x= 37 / (Cos (10.3))

e)

x= 37 Tan (10.3)

49.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
e)

Tangent is not the correct trigometric ratio for the given triangle!

50.

Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen. You want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. What is the width of your new laptop?

a)

13.7 inches

b)

12.8 inches

c)

11.3 inches

d)

13.1 inches

e)

17.0 inches

51.

Solve the right triangle

a)

c=21.7, b=14, ∠B=-55

b)

c=12.2, b=10, ∠B=35

c)

c=12.2, b=10, ∠B=55

d)

c=10, b=12.2, ∠B=35

e)

c=10, b=12.2, ∠B=55

52.

In right triangle DEF with right angle E. If

Tan D = 5/12, what is Cos F=?

a)

12/5

b)

5/12

c)

12/13

d)

13/12

e)

5/13

53.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

e)

tan(37)=14/x

54.

What is the length of y in this 45-45-90 triangle?

(a)  

55.

Based on the diagram, choose all the statements that are true.

a)
b)
c)
d)
e)
56.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

e)

tan X = 28/41

57.

Right triangle ABC is shown below. Which equation gives the correct value for BC?

a)
b)
c)
d)
e)

Not enough information to solve BC

58.

Find Tan A

a)

21/20

b)

29/20

c)

21/29

d)

20/21

e)

20/29

59.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 6 y = 3√2

e)

x = 6√3 y = 6

60.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

e)

b = 7 a = 14√6

61.

Find the value of y.

(a)  

62.

What is the measure of side c?

a)

7

b)

72\frac{7}{\sqrt{2}}

c)

727\sqrt{2}

d)

14

e)

73\frac{7}{\sqrt{3}}

63.

What is the measure of a?

a)

3

b)

333\sqrt{3}

c)

6

d)

323\sqrt{2}

e)

232\sqrt{3}

64.

Find the length of m.

(a)  

65.

Acute, right, or obtuse

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

Not a Triangle

e)

Isosceles Triangle

66.

Which set of side lengths form a right triangle? Choose ALL that apply!

a)

4, 8, 12

b)

12, 13, 20

c)

20, 21, 29

d)

48, 55, 74

e)

3, 4, 5

67.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. Given the diagonal forms a triangle with the length and width, what is the smallest angle in the triangle?

a)

90 Degrees

b)

30 Degrees

c)

45 Degrees

d)

27 Degrees

e)

33 Degrees

68.

What are the three angle measures of the triangle formed using the sides h, s, r

a)

90

b)

53

c)

35

d)

37

e)

55

69.

A bee is in a box shaped as a rectangular prism. The box measures 30 inches by 14 inches by 40 inches. The bee flies from one corner of the box to the corner that is the farthest away. To the nearest inch, how far does the bee fly (r)?

a)

17 in.

b)

45 in.

c)

38 in.

d)

52 in.

e)

84\sqrt{84}

70.

Solve for x. Round to the nearest tenth.

a)

x = 44.6

b)

x = 29.4

c)

x = 36.2

d)

x = 22.3

e)

x = 38.4

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