Answer :

nuhulawal20

The height of the office building casting a shadow of 107ft is approximately 124.83 ft.

What is the height of the building?

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the question;

  • Shadow of building = 107 ft
  • Height of post = 7.0 ft
  • Shadow of post = 6 ft
  • Height of building = x

Ratio of height of office building and its height = x / 107

Ratio of height of post and its height = 7 / 6

Equate the two to get the height of the office building.

x / 107 = 7 / 6

Solve for x

x × 6 = 7 × 107

6x = 749

x = 746 / 6

x = 124.83 ft

Therefore, the height of the building is 124.83 ft.

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