The Effel Tower in Paris is 328 feet wide at the bottom and 984 feet tall a model of the tower is 12 inches tall What is the width of the model?Round to the nearest tenth
984/12 = 328/x
984x = 3936
x = 4 inches
To find the width of the model, we can use the concept of proportions. Let's set up a proportion between the actual height and width of the Eiffel Tower and the height and width of the model:
Actual width of the Eiffel Tower / Actual height of the Eiffel Tower = Width of the model / Height of the model
Given values:
Actual width of the Eiffel Tower = 328 feet
Actual height of the Eiffel Tower = 984 feet
Height of the model = 12 inches
Let's convert the units for easier calculations:
Height of the model in feet = 12 inches * (1 foot / 12 inches) = 1 foot
Now we can fill in the values in the proportion and solve for the width of the model:
328 feet / 984 feet = Width of the model / 1 foot
Cross-multiplying:
328 feet * 1 foot = Width of the model * 984 feet
Width of the model = (328 feet * 1 foot) / 984 feet
Width of the model = 0.33333... feet (rounding to six decimal places)
To round this to the nearest tenth, we consider the digit in the hundredth place. Since it is 3, which is less than 5, we round down to the nearest tenth.
Therefore, the width of the model of the Eiffel Tower is approximately 0.3 feet.