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WorksheetsGeo Unit 8 Review
Total questions: 40
Worksheet time: 2hrs 9mins
Name
Class
Date
1.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
2.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
3.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
4.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
5.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
6.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
7.
Given the figure which tools is most efficient to find the missing length?
a)
Pythagorean Theorem
b)
Law of SInes
c)
Law of Cosines
d)
Tangent of an Angle
8.
Given the figure which tools is most efficient to find the missing measurement?
a)
Inverse Sine of a side
b)
Law of SInes
c)
Law of Cosines
d)
Inverse Tangent of a Side
9.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
10.
To use the Pythagorean Theorem, we need...
a)
A triangle with 2 known angles
b)
A right triangle with 2 known angles
c)
A triangle with 2 known sides
d)
A right triangle with 2 known sides
11.
The angle that is labled 12o in the diagram is a(n)
a)
angle of elevation
b)
angle of depression
c)
neither
d)
both
12.
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
13.
Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?
a)
3216.76 feet
b)
633.93 feet
c)
699.46 feet
d)
3549.30
14.
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
15.
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
16.
An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?
a)
73.30
b)
16.70
c)
17.46
d)
21.84
17.
A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower
a)
18.01 m
b)
29.89 m
c)
13.38 m
d)
22.21 m
18.
Mr. Grahn was fishing and accidentally casted his lure into a tree. He let out all 150 feet of line. Then he pulled out his protractor and measured the angle of elevation at 13o. How high in the tree is Mr. Grahn's lure?
a)
34.5 feet
b)
33 feet
c)
130.5 feet
d)
681.82 feet
19.
Find m∡B
a)
A
b)
B
c)
C
d)
D
20.
Find BC
a)
A
b)
B
c)
C
d)
D
21.
Find BC
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
Find m∡A
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
Find m∡C
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
Find BC
a)
A
b)
B
c)
C
d)
D
28.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
29.
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
30.
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
31.
Find the value of x.
a)
15
b)
16
c)
18
d)
17
32.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
33.
Which trigonometric ratio is correct?
a)
cosC= adj/hyp
b)
sinC= adj/hyp
c)
tanC= adj/hyp
d)
tanC=adj/opp
34.
A lighthouse is due east of a sailboat. The sailboat's dock is 30 km straight north of the lighthouse. The captain measures his viewing angle between the lighthouse and dock and find it to be 35 degrees. How far is the sailboat from the dock?
a)
17.2 km
b)
24.5 km
c)
52.3 km
d)
60 km
35.
a)
14 ft.
b)
4 ft.
c)
20 ft.
d)
16 ft.
36.
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
37.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
38.
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
39.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
40.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
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