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Geometry 2 Final Exam

Total questions: 20

Worksheet time: 46mins

Name
Class
Date
1.
Solve for the missing angle.
a)
50
b)
0.053
c)
36.9
d)
95
2.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

3.

Choose the correct ratio.

a)

sin⁡(37)=x14\sin\left(37\right)=\frac{x}{14}

b)

cos⁡(37)=x14\cos(37)=\frac{x}{14}

c)

tan⁡(37)=x14\tan(37)=\frac{x}{14}

d)

sin⁡(37)=14x\sin(37)=\frac{14}{x}

4.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
5.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
6.

A ladder is leaning against a wall. If the ladder is 15 feet long and the angle between the ladder and the ground is 60 degrees, how far is the base of the ladder from the wall?

a)

7.5 feet

b)

5 feet

c)

10 feet

d)

20 feet

7.

A flagpole casts a shadow that is 20 meters long. If the angle of elevation from the tip of the shadow to the top of the flagpole is 30 degrees, how tall is the flagpole?

a)

11.54 meters

b)

5.0 meters

c)

15.0 meters

d)

25.0 meters

8.

sin⁡θ=\sin\theta=  

a)

oppositehypotenuse\frac{opposite}{hypotenuse}  

b)

hypotenuseopposite\frac{hypotenuse}{opposite}  

c)

adjacenthypotenuse\frac{adjacent}{hypotenuse}  

d)

oppositeadjacent\frac{opposite}{adjacent}  

9.

tan⁡θ=\tan\theta=  

a)

oppositehypotenuse\frac{opposite}{hypotenuse}  

b)

hypotenuseadjacent\frac{hypotenuse}{adjacent}  

c)

adjacentopposite\frac{adjacent}{opposite}  

d)

oppositeadjacent\frac{opposite}{adjacent}  

10.

cos⁡θ=\cos\theta=  

a)

oppositehypotenuse\frac{opposite}{hypotenuse}  

b)

hypotenuseadjacent\frac{hypotenuse}{adjacent}  

c)

adjacenthypotenuse\frac{adjacent}{hypotenuse}  

d)

oppositeadjacent\frac{opposite}{adjacent}  

11.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

12.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

13.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

22ft

14.
Find the arc length of arc AB.
a)
12.57 units
b)
75.40 units
c)
24 units
d)
125.66 units
15.
Find the arc length.
a)
37.70 cm
b)
6.28 cm
c)
28.27 cm
d)
9.42 cm
16.
Find the area of the shaded sector.
a)
37.70 cm2
b)
6.28 cm2
c)
28.27 cm2
d)
9.42 cm2
17.
Find the area of the sector.
a)
A
b)
B
c)
C
d)
D
18.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
19.
solve for c
a)
7
b)
9
c)
4
d)
13
20.

When is the best time to wear a striped sweater?

a)

At 12:00 pm

b)

All the time

c)

Only after dark

d)

When it feels right...