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Alg 1/1B Trig Rev Day 1

Total questions: 41

Worksheet time: 3hrs 25mins

Name
Class
Date
1.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
2.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
3.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
4.
What is the ratio for Tangent
a)
Opp/Hyp
b)
Adj/Opp
c)
Opp/Adj
d)
Hyp/Opp
5.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
6.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
7.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
8.
Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)
a)
.9004
b)
.8123
c)
88.6361
d)
42
9.
Solve for x. Round to the nearest tenth.
a)
5.3
b)
6.2
c)
8.5
10.
Find Sin(X) as a decimal rounded the the nearest ten-thousandth.
a)
.3846
b)
.9231
c)
1.0833
d)
.4167
11.
Find the trig value rounded to the nearest ten-thousandth.
Cos(77°)
a)
77
b)
.9004
c)
.9063
d)
.2250
12.
Find the value of each angle to the nearest tenth of a degree.
Cos(B) = .5736
a)
1.0
b)
55.0
c)
32.8
d)
47.2
13.
Find the value of each angle to the nearest tenth of a degree.
Tan(R) = 0.2623
a)
18
b)
55.0
c)
14.7
d)
Don't pick green
14.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
15.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
16.
Which side is opposite angle x?
a)
1
b)
2
c)
3
17.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
18.
a)
A
b)
B
c)
C
d)
D
19.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
20.
Find the measure of the missing angle.
a)
28.1
b)
61.9
c)
25.2
d)
56.1
21.
Find the measure of AB. 
a)
11.6
b)
6.99
c)
14.3
d)
5.7
22.
Find the measure of the missing angle.
a)
70.8
b)
19.2
c)
43.4
d)
26.2
23.
Find the length of AC.
a)
5.7
b)
15.3
c)
34.4
d)
12.8
24.
What is the ratio for Tangent
a)
Opp/Hyp
b)
Adj/Opp
c)
Opp/Adj
d)
Hyp/Opp
25.
Which side is adjacent to angle x?
a)
1
b)
2
c)
3
26.

Select the correct ratio for TanC

a)

2015\frac{20}{15}

b)

1520\frac{15}{20}

c)

2025\frac{20}{25}

d)

1525\frac{15}{25}

27.

Select the correct ratio for CosC

a)

3034\frac{30}{34}

b)

1634\frac{16}{34}

c)

1715\frac{17}{15}

d)

3016\frac{30}{16}

28.
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)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
29.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
30.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
31.
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. Would you estimate the distance from the tree branch to the mouse to be less than, greater than, or equal to 15ft? 
a)
greater than 15ft
b)
less than 15ft
c)
equal to 15ft
32.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
33.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
34.
A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 
a)
4.1 inches
b)
3.9 inches
c)
22.7 inches 
d)
0.7 inches 
35.
A 25ft ladder is leaning up against a wall. If the ladder makes a 63o with the ground, how far is the base of the ladder from the wall?
a)
12.4 ft
b)
11.3 ft
c)
22.3 ft
d)
49.1 ft
36.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

37.
A hot air balloon is 520m from the ground. A building is 450m tall.  Given the angle of elevation from the hot air balloon from the height of a building is 10° , find the horizontal distance from the balloon to the building in meters.
a)
512 m
b)
414 m
c)
403 m
d)
397 m
38.
A building 62 meters tall casts a shadow 21 meters long.  What is the angle of elevation of the sun?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
39.

Mattie is waiting for the bus. She is cold because she is standing in its shadow. The building is 62 meters tall and casts a shadow 21 meters long. What is the angle of elevation of the sun?

a)

19.80

b)

18.71

c)

70.20

d)

71.29

40.

Thomas is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Thomas' mom to Thomas is 73o, how far off the ground is Thomas?

a)

118.2 ft

b)

120.9 ft

c)

124.3 ft

d)

126.5 ft

41.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?