The Empire State Building in New York City is 1,168 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State Building?
a.584:12
b.584:1
c.12:584
d.1:584
Whats the answer?
Thank you
for your question. The correct answer is d. 1:584.
24 inches is 2 feet
2 / 1168 = 1 / 584
1.The Empire State building in New York City is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State building?
A)727:12
B)727:1
C)12:727
D)1:727
2. Are the polygons Similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
A) TUWV-DEF; 4.5:2.8
B)TUWV-EFGD; 6:2.1
C)TUWV-DEF; 6:4.5
D)The polygons are not similar
3. What similarity statement can you write relating the three triangles in the diagram?
A)JMK-MLK-JLM
B)JKM-LMK-JLM
C)JLM-MLK-JKM
D)JKM-MKL-MJL
4.What are the values of x and y?
A)x=136/12.y=17/15
B)x=64/15.y=17/15
C)x=8/15.y=136/15
D)x=64/15.y=136/15
5. Whaaat is the value of x to the nearest tenth? The figure is not drawn to scale.
A)x=35.6
B)x=10.5
C)x=4.9
D)x=1.5
6.AAre the two triangles similar? How do you know?
A)no
B)yes; by AA
C)yes;by SAS
D)yes; by SSS
7. What is the geometric mean of 6 and 13?
A)2^13
B)2^26
C)^78
D)49
8. A salsa recipe uses green pepper, onion, aand tomato in the extended ratio 3;5;7. How many cups of tomato are needed to make 105 cups of salsa?
A)7
B)21
C)35
D)49
9..What is the length of the altitude drawn to the hypotenuse?The figure is not drawn to scale
A)24
B)^24
C)143
D)^143
10.What is the solution to the proportion? 6/11=m/121
A)66
B)11
C) 1/66
D)1
11.What is the given value of x, given that PQ ll BC?
A)10
B)5
C)7
D)8
1)D
2)C
3)A
4)D
5)B
6)A
7)C
8)D
9)D
10)A
11)B
To find the ratio of the height of the model to the height of the actual Empire State Building, we need to convert both measurements to the same unit. Let's convert the height of the actual building from feet to inches:
1,168 feet * 12 inches/foot = 14,016 inches
Now, we can calculate the ratio:
Height of model: 24 inches
Height of actual building: 14,016 inches
The ratio can be expressed as:
24:14,016
To simplify the ratio, we can divide both numbers by their greatest common divisor (in this case, 24) to get:
1:584
Therefore, the correct answer is d. 1:584