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WorksheetsSpecial right triangles/Trig ratios/right triangles
Total questions: 65
Worksheet time: 4hrs 3mins
Name
Class
Date
1.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
2.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
3.
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
4.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
5.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
6.
Acute, right, or obtuse
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
7.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
8.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
9.
Use Pythagorean Theorem to solve for x.
a)
8
b)
11.66
c)
16
d)
4
10.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
11.
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
12.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
13.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
14.
Which one is one of the easy ways to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
15.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
16.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
17.
Which trigonometric ratio is correct?
a)
sinA= opp/adj
b)
cosA= opp/hyp
c)
tanA= opp/adj
d)
sinA= adj/opp
18.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
19.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
20.
a)
A
b)
B
c)
C
d)
D
21.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
22.
a)
A
b)
B
c)
C
d)
D
23.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
24.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
25.
What information do you need to use the tangent ratio?
a)
an angle and a side opposite and adjecent
b)
two sides
c)
one angle and the hypotenuse
d)
one angle and the opposite and hypotenuse
26.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
27.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
28.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
29.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
30.
Which equation is true?
a)
sin (x) = 14/29
b)
cos (x) = 14/29
c)
tan (x) = 14/29
d)
tan (x) = 29/14
31.
Which equation is true?
a)
sin (x) = 11/27
b)
sin (x) = 27/11
c)
cos (x) = 11/27
d)
tan (x) = 11/27
32.
Which equation is true?
a)
sin (x) = 6/8
b)
cos (x) = 8/6
c)
cos (x) = 6/8
d)
tan (x) = 6/8
33.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
34.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
35.
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
36.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
37.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
38.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
39.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
40.
I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?
a)
Multiply by √2
b)
Divide by √2
c)
It's the same length as the hypotenuse.
d)
Divide by 2
41.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
42.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
43.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
44.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
45.
Which side is the short leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
46.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
47.
The leg lengths of a right triangle are 15 & 20. What is the length of the hypotenuse?
a)
10
b)
5
c)
25
d)
50
48.
The hypotenuse of a right triangle is 35 and one of the legs is 21. What is the length of the other leg?
a)
7
b)
14
c)
18
d)
28
49.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
50.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
51.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
52.
Find the length of the missing side x...
Round your answer to 1 decimal place.
a)
3.8 cm
b)
28.8 cm
c)
3.9 cm
d)
3.6 cm
53.
Find the length of the missing side x...
Round your answer to 1 decimal place.
a)
8.3 cm
b)
16.7 cm
c)
11.8 cm
d)
8.4 cm
54.
Find the length of the missing side x...
Round your answer to 1 decimal place.
a)
10.3 cm
b)
10.2 cm
c)
17.5 cm
d)
8.6 cm
55.
From <C, what side is AB?
a)
Adjacent
b)
Opposite
c)
Hypotenuse
56.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
57.
Fill in the blank...
SOH ___ TOA
SOH ___ TOA
a)
COH
b)
CAH
c)
COA
d)
CHA
58.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
59.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
60.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
61.
Use trig ratios (SOH CAH TOA) to solve for x
a)
5.0
b)
6.1
c)
7.7
d)
6.4
62.
How do you locate the hypotenuse on a right triangle?
a)
It's across from angle A.
b)
It's always on the left side.
c)
It's across from the right angle.
d)
It is the shortest side.
63.
Find the measurement of the missing side indicated
a)
4.98
b)
5.98
c)
3.20
d)
4.18
64.
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
65.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
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