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7-4 Self Check

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
A 32 foot long cable stretches from the top of a pole to the ground.  If the cable forms a 52˚ angle with the ground, which is closest to the height of the pole?
mc001-1.jpg
A
19.7
B
25.2
C
38
D
40.9
 

 2. 
The 20 foot bed of a dump truck loaded with heavy stone must rise to an angle of 42˚ before the stone will spill out.  Approximately how high must the front of the bed rise (x) to unload?

sin 42˚ = .669            cos 42˚ = .743            tan 42˚ = .900
mc002-1.jpg
A
18
B
13.4
C
14.9
D
48
 

 3. 
A 126 foot pole casts a shadow of 27 feet.  Find the angle of elevation of the sun when the shadow is cast.
A
12°
B
27°
C
63°
D
78°
 

 4. 
James is standing on a cliff looking down to his car.  The angle of depression to his car is 52˚ and the cliff is 80 meters high.  Find how far James’s car is from the bottom of the cliff.
A
12.6 m
B
62.5 m
C
102.3 m
D
132.0 m
 

 5. 
An engineer must design a ramp to a highway.  The ramp must be 200 yards long and meet the highway 20 yards up from ground level.  What must the angle of elevation be?
A
5.7°
B
10.0°
C
70.0°
D
84.3°
 
 
Use the figure below to answer the following question(s).
nar001-1.jpg
 

 6. 
Find x.
A
14.7
B
17.5
C
22.6
D
32.2
 

 7. 
Find y.
A
14.7
B
17.5
C
22.6
D
32.2
 
 
Use the figure below to answer the following question(s).
nar002-1.jpg
 

 8. 
Find x.
A
18.0
B
19.5
C
42.3
D
46.0
 

 9. 
Find y.
A
18.0
B
19.5
C
42.3
D
46.0
 

 10. 
The length of the diagonals of a rhombus are 6 cm and 9 cm.  Find the measures of the angles of the rhombus to the nearest degree.  NP = 6 cm, MO = 9 cm
mc010-1.jpg
A
34° and 56°
B
68° and 112°
C
42° and 48°
D
84° and 96°
 



 
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