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WorksheetsRight Triangle Trig
Total questions: 49
Worksheet time: 5hrs 32mins
Name
Class
Date
1.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
2.
What leg is considered the hypotenuse?
a)
Any side
b)
the side opposite the smallest angle
c)
the side opposite the right angle
d)
the side opposite the shortest leg
3.
What can you find with trig ratios?
a)
Missing sides
b)
missing angles
c)
area of a triangle
d)
missing sides, angles and area of a triangle
4.
What type of triangles do you use the trig ratios with?
a)
any type
b)
right triangle
c)
obtuse triangle
d)
acute triangle
5.
What does SOH stand for
a)
hypotenuse over opposite
b)
adjacent over opposite
opposite over adjacent
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
13.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
14.
What is the ratio for tangent?
a)
O/A
b)
A/O
c)
A/H
d)
O/H
15.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
16.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
17.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
18.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
19.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
20.
What is the side across from the right angle called?
a)
Leg
b)
Pythagoras
c)
Hypotenuse
d)
Altitude
21.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
22.
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
23.
Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
24.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
25.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
26.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
27.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
28.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
29.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
30.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
31.
Find secΘ.
a)
17/15
b)
15/17
c)
8/17
d)
17/8
32.
Find cotΘ.
a)
3/4
b)
4/3
c)
5/4
d)
5/3
33.
Find cscΘ.
a)
15/17
b)
17/15
c)
8/17
d)
17/8
34.
What is the reciprocal of sin(x)?
a)
cos(x)
b)
csc(x)
c)
sec(x)
d)
cot(x)
35.
Secant is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
36.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
37.
What is sec(T)?
a)
24/7
b)
7/25
c)
25/24
d)
25/7
38.
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
39.
What trigonometric ratio would be used to find the distance from the ship to the plane?
a)
sine
b)
cosine
c)
tangent
d)
inverse sine
40.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
41.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
42.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
43.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
44.
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
45.
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
46.
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)
138 degrees
47.
What is another way to say √(-1) 23 ∑ π
a)
I ate some pie
b)
-24
48.
If you are cold how can you warm up?
a)
Sit in the corner its 90 degrees!
b)
Do your warm up!
49.
Why is the obtuse triangle always upset?
a)
Because it's never right
b)
It's worried about its size
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