Some sixth graders made a scale model of all the tall buildings in SanDiego, California. Two of the buildings modeled were the Emerald-Shapley Center and One American Plaza. The actual height of theEmerald-Shapley Center is 450 feet, and the actual height of OneAmerican Plaza is 500 feet. If the model of One American Plaza was 10inches tall, how tall was the model of the Emerald-Shapley Center?O A. 4 1/2 inchesO B. 5 inchesO C. 9 inchesO D. 45 inchesItem #29

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28-10-2022
Mathematics

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Some sixth graders made a scale model of all the tall buildings in SanDiego, California. Two of the buildings modeled were the Emerald-Shapley Center and One American Plaza. The actual height of theEmerald-Shapley Center is 450 feet, and the actual height of OneAmerican Plaza is 500 feet. If the model of One American Plaza was 10inches tall, how tall was the model of the Emerald-Shapley Center?O A. 4 1/2 inchesO B. 5 inchesO C. 9 inchesO D. 45 inchesItem #29

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AnaluciaP418063 AnaluciaP418063 · Answer 1 · 2022-10-28T19:01:34+02:00

In order to determine the height of the model for the Emeral-Shapley Center, determine the scale factor in between the actual size and model, by using the information about the American plaza:

scale factor = 500 ft/ 10 in =50 ft/in

which means, that there are 50 feet in 1 inche of the model.

Then, to obtaine height of the Emerald-Sapley Center, divide the actual height over the scale factor:

450 ft/(50 ft/in) = 9 in

Hence, the height of the model for Emerald-Shapley center is 9 in