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WorksheetsRight Triangle Trig, Exact Value, Convert Radian and Degree
Total questions: 75
Worksheet time: 17hrs 39mins
Name
Class
Date
1.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
2.
solve for c
a)
7
b)
9
c)
4
d)
13
3.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
4.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
5.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
7.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
8.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
9.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
10.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
11.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
12.
What is the ratio for tangent?
a)
O/A
b)
A/O
c)
A/H
d)
O/H
13.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
14.
What is the cos(T)?
a)
7/24
b)
7/25
c)
24/25
d)
25/24
15.
What is the tan(T)?
a)
7/24
b)
7/25
c)
24/25
d)
25/7
16.
What is the sin(T)?
a)
7/24
b)
7/25
c)
24/25
d)
25/7
17.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
18.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
19.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
20.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
21.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
22.
What is the side across from the right angle called?
a)
Leg
b)
Pythagoras
c)
Hypotenuse
d)
Altitude
23.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
24.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
33°
b)
49°
c)
39°
d)
41°
25.
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
26.
What is the ratio for cosine?
a)
Hypotenuse/Adjacent
b)
Opposite/Adjacent
c)
Adjacent/Hypotenuse
d)
Adjacent/Opposite
27.
What is the ratio for tangent?
a)
Opposite/Adjacent
b)
Adjacent/Opposite
c)
Adjacent/Hypotenuse
d)
Opposite/Hypotenuse
28.
What is the ratio for sine?
a)
Opposite/Hypotenuse
b)
Hypotenuse/Adjacent
c)
Hypotenuse/Opposite
d)
Opposite/Adjacent
29.
What type of triangles do you use the trig ratios with?
a)
any type
b)
right triangle
c)
obtuse triangle
d)
acute triangle
30.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
31.
Sin A =
a)
5/4
b)
13/12
c)
3/5
d)
12/13
32.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
33.
Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
34.
Solve for the missing angle.
a)
50.1
b)
0.0532
c)
36.9
d)
95.0
35.
Michael Jordan dunked from the freethrow line. The basketball goal is 10- ft tall. The distance from the freethrow line to the goal is 15 ft, find the angle of elevation.
a)
18
b)
50.5
c)
33.69
d)
22.4
36.
A ladder is leaning against a house at an angle of 39 degrees. If the ladder is 12 ft. long, how far is the bottom of the ladder from the house? Round to the tenths.
a)
15.4 ft.
b)
9.3 ft.
c)
20.2 ft.
d)
5.3 ft.
37.
a)
38
b)
63
c)
20
d)
98
38.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
39.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
40.
Find the measurement of the missing side indicated
a)
4.98
b)
5.98
c)
3.20
d)
4.18
41.
a)
1
b)
-1
c)
0
d)
√2/2
42.
Evaluate sin(-30°)
a)
√3 / 2
b)
-1/2
c)
1/2
d)
-√3 / 2
43.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
44.
cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
45.
cos(30o)=
a)
1
b)
1/2
c)
(√3)/2
d)
(√2)/2
46.
sin(30o)=
a)
sqt2/2
b)
1/2
c)
1
d)
sqt3/2
47.
sin 60° =
a)
1/2
b)
√2/2
c)
1
d)
√3/2
48.
Evaluate the trig expression without using a calculator
sin(360°)
a)
0
b)
1
c)
.5
d)
-1
49.
Evaluate the trig expression without using a calculator
sin(180°)
a)
0
b)
1
c)
.5
d)
-1
50.
cos(150o)
a)
- ½
b)
-√3/2
c)
2√3 /3
d)
½
51.
cos(270o)
a)
0
b)
1
c)
-1
d)
UND
52.
tan(180o)
a)
-1
b)
0
c)
√2
d)
UND
53.
Evaluate sin(225°)
a)
-√2 /2
b)
√2 /2
c)
1/2
d)
√3/2
54.
cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
55.
sin(90o)=
a)
1/2
b)
0
c)
-1
d)
1
56.
cos(30o)=
a)
1
b)
1/2
c)
sqt3/2
d)
sqt2/2
57.
sin 45° =
a)
1/2
b)
√2/2
c)
1
d)
√3/2
58.
a)
A
b)
B
c)
C
d)
D
59.
sin(135°)=
a)
√2/2
b)
-√2/2
c)
-1/2
d)
0
60.
sin(330°)=
a)
-1/2
b)
√3/2
c)
1/2
d)
1
61.
a)
A
b)
B
c)
C
d)
D
62.
Convert from radians to degrees: 7π ∕ 4
a)
330°
b)
45°
c)
315°
d)
75°
63.
Convert from degrees to radians: 135°
a)
2π ∕ 3
b)
3π ∕ 4
c)
5π ∕ 4
d)
3π ∕ 5
64.
Convert from degrees to radians: 10°
a)
π ∕ 18
b)
π ∕ 180
c)
3π ∕5
d)
2π ∕ 36
65.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
66.
Convert π/4 radians to degrees
a)
90⁰
b)
45⁰
c)
60⁰
d)
30⁰
67.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
68.
What is 225 degrees in radians?
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
69.
What is 270 degrees in radians?
a)
π/4
b)
3π/2
c)
3π/4
d)
π/2
70.
a)
A
b)
B
c)
C
d)
D
71.
a)
A
b)
B
c)
C
d)
D
72.
a)
A
b)
B
c)
C
d)
D
73.
What operation do we use when solving for an ANGLE measure?
a)
add
b)
subtract
c)
multiply
d)
divide
e)
inverse
74.
What type of letters represent sides of a triangle?
a)
CAPITAL
b)
lowercase
c)
BoTh
75.
What do you use as your Refrence location when setting up SOH CAH TOA?
a)
side length
b)
angle measure
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