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A building alpha casts a shadow 75m at the same time when the building gamma casts a shadow 60m long on the field. If the height of the gamma building is 40m, what will be the height of the building alpha?
  • a)
    20m
  • b)
    30m
  • c)
    90m
  • d)
    50m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A building alpha casts a shadow 75m at the same time when the building...
Let the height of building alpha be x metre
Then, x : 75 = 40 : 60
x/75 = 40/60
Therefore, x = 50m
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Most Upvoted Answer
A building alpha casts a shadow 75m at the same time when the building...

Given data:
- Shadow length of building alpha = 75m
- Shadow length of building gamma = 60m
- Height of building gamma = 40m

Calculating the height of building alpha:
- Let the height of building alpha be h meters
- According to similar triangles, the ratio of the height to the shadow length for both buildings will be the same
- So, we can set up the following proportion: h/75 = 40/60
- Solving for h, we get: h = (75 * 40) / 60 = 50m

Therefore, the height of building alpha is 50m, which corresponds to option 'D'.
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A building alpha casts a shadow 75m at the same time when the building gamma casts a shadow 60m long on the field. If the height of the gamma building is 40m, what will be the height of the building alpha?a)20mb)30mc)90md)50mCorrect answer is option 'D'. Can you explain this answer?
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