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Geo Topic 8 Review

Total questions: 27

Worksheet time: 4hrs 7mins

Name
Class
Date
1.
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
2.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
3.
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
4.
a)
18.9
b)
19.5
c)
47
d)
27.5
5.

From the perspective of angle  θ\theta , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

6.

Find the missing side.

a)

11.6

b)

93.4

c)

31.9

d)

1.1

7.
a)
20
b)
5.9
c)
33
d)
42
8.
a)
27.1
b)
74.8
c)
35.9
d)
56.3
9.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
10.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
11.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
12.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
13.
Solve for x. Round to the nearest tenth.
a)
74.9
b)
3.6
c)
63.5
d)
54.1
14.
Find AB
a)
10
b)
8
c)
6.1
d)
4.9
15.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
16.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
17.
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
18.
find X
a)
52
b)
33
c)
41
d)
29
19.

Find c

a)

10

b)

8

c)

6.1

d)

4.9

20.
Identify the Law of Sines
a)
Sin2x + Cos2x =1
b)
Sin(A)/a = Sin(B)/b = Sin(C)/c
c)
Sin(A)Sin(B)Sin(C) = 1
d)
Soh-Cah-Toa
21.
Solve the triangle Given: A=90 ° C=40 ° c=4
a)
a=10 b=60 ° b=6
b)
a=5 B=65.5 ° b=9
c)
a=10 B=50 ° b=9
d)
a=9 B=50 ° b=5
22.

The guard of a lighthouse saw a boat passing by with the distance of 275.25 feet. What is the angle of elevation?

a)

DCA

b)

None

c)

CAB

d)

∠ A

23.

In the given figure, what is the angle of elevation?

a)

∠B

b)

∠D

c)

∠C

d)

∠A

24.

∠Y illustrates angle of elevation.

a)

TRUE

b)

FALSE

c)

MAYBE

d)

NOT SURE

25.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
26.

A ramp is being built to go up a vertical increase of 10 feet. Codes require the angle the ramp makes with the ground to be no more than 15°15\degree . At least how long will the actual ramp need to be to pass code? 

a)

26.6 feet

b)

31.1 feet

c)

38.6 feet

d)

42.3 feet

27.

Lindsey and her brother are standing on a street in Nashville looking at the top of the Ryman with a 65 degree angle of elevation. They are 100 meters from the Ryman. How tall is the Ryman Auditorium?

a)

46.6 meters

b)

128.2 meters

c)

214.5 meters

d)

279.7 meters