Quiz about Precalculus Trigonometry Functions

Question 1

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

Accepted Answer

94

Answer

47

Answer

123

Answer

74

Question 2

Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.

Accepted Answer

4.7 inches

Answer

10 inches

Answer

2 feet

Answer

3.53 inches

Question 3

If the sides of a triangle are 3, 4, and 5, what is the area?

Accepted Answer

6

Answer

12

Answer

6.28

Answer

3.14159

Question 4

Identify the Law of Sines

Accepted Answer

Sin(A)/a = Sin(B)/b = Sin(C)/c

Answer

Sin²x + Cos²x =1

Answer

Sin(A)Sin(B)Sin(C) = 1

Answer

Soh-Cah-Toa

Question 5

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 6

Find AB.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 7

Find BC.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 8

Find BC

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 9

Find AC

Accepted Answer

14

Answer

12

Answer

10

Answer

23

Question 10

What is the measure of angle A?

Accepted Answer

78 degrees

Answer

50 degrees

Answer

60 degrees

Answer

74 degrees

Question 11

Find x, the measure of the angle.

Accepted Answer

29

Answer

52

Answer

33

Answer

41

Question 12

solve the triangle:

A=65 C=65 a=12

Accepted Answer

B=50, b=10.1, c=12

Answer

B=50, b=9.9, c=12

Answer

B=70, b=12.8, c=12

Answer

B=40 b=11.2, c=12

Question 13

Solve each triangle. A=40, B=20, a=2

Accepted Answer

C=120, b=1.06, c=2.69

Answer

C=135, b= 1.56, c=2.50

Answer

C= 120, b=2.68. c=3.26

Answer

C=45, b=1.06, c=2

Question 14

Find the area of the triangle.

Accepted Answer

148 square units

Answer

88 square units

Answer

108 square units

Answer

63 square units

Question 15

Find Area of DEF

Accepted Answer

59.8

Answer

9.5

Answer

119.5

Answer

5.4

Question 16

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

Accepted Answer

96.36 ft

Answer

9285.73 ft

Answer

24061.81 ft

Answer

155.12 ft

Question 17

The dimensions of a triangular lot are 100 feet by 50 feet by 75 feet. If the price of such land is $3 per square foot, how much does the lot cost?

Accepted Answer

$5446.38

Answer

$1815.46

Answer

It's free!

Answer

$171.16

Question 18

Solve for the missing angle.

Accepted Answer

36.9

Answer

50

Answer

0.053

Answer

90

Question 19

The __________ represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height.

Accepted Answer

Amplitude

Answer

Period

Answer

Extreme Values

Answer

Frequency

Question 20

Is this Sine or Cosine?

Accepted Answer

y=sinx

Answer

it's all waves to me

Answer

y=cosx

Answer

what's the difference?

Question 21

A ferris wheel has a 100 feet diameter. There are 24 ride buckets that take 6 minutes to do 3 full rotations. The ferris wheel sits 20 feet above ground. What function models the movement of the ferris wheel?

Accepted Answer

cosine

Answer

linear

Answer

sine

Answer

quadratic

Question 22

A ferris wheel has a 100 feet diameter. There are 24 ride buckets that take 6 minutes to do 3 full rotations. The ferris wheel sits 20 feet above ground. What is the midline of the function?

Accepted Answer

y = 70

Answer

x = 100

Answer

x = 70

Answer

y = 100

Question 23

A ferris wheel has a 100 feet diameter. There are 24 ride buckets that take 6 minutes to do 3 full rotations. The ferris wheel sits 20 feet above ground. What is the amplitude of the function?

Accepted Answer

50

Answer

20

Answer

70

Answer

100

Question 24

A ferris wheel has a 100 feet diameter. There are 24 ride buckets that take 6 minutes to do 3 full rotations. The ferris wheel sits 20 feet above ground. Which function best models the ferris ride?

Accepted Answer

y = -50 cos x +70

Answer

y = -20 sin x + 70

Answer

y = 50 sin x +70

Answer

y = 20 cos x + 50

Question 25

A ferris wheel has a 100 feet diameter. There are 24 ride buckets that take 6 minutes to do 3 full rotations. The ferris wheel sits 20 feet above ground.
How many radians has the ferris moved in one minute?
(Hint: determine degrees first, then convert to rads.)

Accepted Answer

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{11\pi}{12}$$

Answer

$$\frac{5\pi}{4}$$

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