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A scale of 1 inch = 50 ft. is mentioned on an old map. What is the corresponding equivalent scale?
- a)1 cm = 5 m
- b)1 cm = 6 m
- c)1 cm = 10 m
- d)1 cm = 12 m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A scale of 1 inch = 50 ft. is mentioned on an old map. What is the cor...
1 feet = 12 inches
1 inch = 2.54 cm
50 feet = 12 x 50 x 2.54 cm = 1524 cm = 15.24 m
So, 2.54 cm = 15.24 m
Hence 1 cm = 6 m
Most Upvoted Answer
A scale of 1 inch = 50 ft. is mentioned on an old map. What is the cor...
Scale Conversion
Introduction:
When we use maps, we need to know the scale of the map. The scale is the relationship between the distance on the map and the actual distance on the ground. It is usually given as a ratio or a fraction. Sometimes, we may need to convert scales to compare maps or to measure distances.
Given:
Scale on an old map = 1 inch = 50 ft.
To Find:
The corresponding equivalent scale.
Explanation:
To convert the given scale to a different scale, we need to use the concept of proportionality. We can write:
1 inch on map / 50 ft on ground = x cm on map / y m on ground
where x and y are the unknowns we want to find. We can simplify this equation by cross-multiplying:
1 inch x y m = 50 ft x x cm
We know that 1 inch is equal to 2.54 cm and 1 ft is equal to 0.3048 m. We can substitute these values in the above equation and simplify:
2.54 cm x y m = 50 ft x x cm x 0.3048 m
2.54 cm x y m = 15.24 x cm
Now, we can solve for x and y by dividing both sides by x cm:
2.54 cm x y m / x cm = 15.24
y / 100 = 15.24 / x (since 1 cm = 0.01 m)
y = 1524 / x
Substitute this value of y in the previous equation:
2.54 cm x (1524 / x) m = 15.24 x cm
3873.6 cm = 15.24 x cm
x = 3873.6 / 15.24
x = 254
Therefore, the corresponding equivalent scale is:
1 cm = 6 m
Conclusion:
The corresponding equivalent scale of 1 inch = 50 ft is 1 cm = 6 m. This means that 1 cm on the map represents 6 m on the ground.
Introduction:
When we use maps, we need to know the scale of the map. The scale is the relationship between the distance on the map and the actual distance on the ground. It is usually given as a ratio or a fraction. Sometimes, we may need to convert scales to compare maps or to measure distances.
Given:
Scale on an old map = 1 inch = 50 ft.
To Find:
The corresponding equivalent scale.
Explanation:
To convert the given scale to a different scale, we need to use the concept of proportionality. We can write:
1 inch on map / 50 ft on ground = x cm on map / y m on ground
where x and y are the unknowns we want to find. We can simplify this equation by cross-multiplying:
1 inch x y m = 50 ft x x cm
We know that 1 inch is equal to 2.54 cm and 1 ft is equal to 0.3048 m. We can substitute these values in the above equation and simplify:
2.54 cm x y m = 50 ft x x cm x 0.3048 m
2.54 cm x y m = 15.24 x cm
Now, we can solve for x and y by dividing both sides by x cm:
2.54 cm x y m / x cm = 15.24
y / 100 = 15.24 / x (since 1 cm = 0.01 m)
y = 1524 / x
Substitute this value of y in the previous equation:
2.54 cm x (1524 / x) m = 15.24 x cm
3873.6 cm = 15.24 x cm
x = 3873.6 / 15.24
x = 254
Therefore, the corresponding equivalent scale is:
1 cm = 6 m
Conclusion:
The corresponding equivalent scale of 1 inch = 50 ft is 1 cm = 6 m. This means that 1 cm on the map represents 6 m on the ground.
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A scale of 1 inch = 50 ft. is mentioned on an old map. What is the corresponding equivalent scale?a)1 cm = 5 mb)1 cm = 6 mc)1 cm = 10 md)1 cm = 12 mCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A scale of 1 inch = 50 ft. is mentioned on an old map. What is the corresponding equivalent scale?a)1 cm = 5 mb)1 cm = 6 mc)1 cm = 10 md)1 cm = 12 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A scale of 1 inch = 50 ft. is mentioned on an old map. What is the corresponding equivalent scale?a)1 cm = 5 mb)1 cm = 6 mc)1 cm = 10 md)1 cm = 12 mCorrect answer is option 'B'. Can you explain this answer?.
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