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Right Triangle Test

Total questions: 40

Worksheet time: 2hrs 42mins

Name
Class
Date
1.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
2.

Sides a and b are called legs.

a)

true

b)

false

3.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

4.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
5.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
6.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
7.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
8.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

9.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
10.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
11.

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

a)

True

b)

False

12.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
13.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
14.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
15.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
16.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
17.

Which statement below is not true about the hypotenuse in all right triangles?

a)

The hypotenuse is the longest side

b)

The hypotenuse is opposite the right angle

c)

The hypotenuse must be equal to the sum of the legs

d)

The hypotenuse squared is equal to the sum of squares of the legs

18.
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
19.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
20.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
21.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
22.

How do you know which side is the OPPOSITE?

a)

It is opposite the hypotenuse

b)

It is opposite the right angle

c)

It is opposite the reference angle(theta).

d)

It is the bottom leg of the triangle

23.

How do you know which side is the ADJACENT?

a)

Its opposite the hypotenuse.

b)

It is opposite the right angle.

c)

Its always the smallest side

d)

The adjacent side and the hypotenuse form the angle referred to in a trig ratio

24.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
25.
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
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
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
29.
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 
30.
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 
31.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
32.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
33.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
34.

Which of the following is NOT correct?

a)

Sin A= 3/5

b)

Cos A = 4/5

c)

Tan A = 0.75

d)

A= 36.9 degrees

e)

B= cos-1(4/5)

35.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
36.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
37.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
38.
A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
39.
What the coordinates of 180° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
40.
What are the coordinates of 60° on the unit circle?
a)
(0, 1)
b)
(1/2, √3/2)
c)
(√3/2, 1/2)
d)
(√2/2, 1/2)

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