Math  /  Algebra

QuestionHow much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 14C14^{\circ} \mathrm{C} ? Its original height is 321 m and you can assume it is made of steel. ΔL=\Delta L= \square cm

Studdy Solution
Calculate the change in length.
Perform the multiplication:
ΔL=32100×11×106×14 \Delta L = 32100 \times 11 \times 10^{-6} \times 14
ΔL=32100×0.000011×14 \Delta L = 32100 \times 0.000011 \times 14
ΔL=32100×0.000154 \Delta L = 32100 \times 0.000154
ΔL=4.9434cm \Delta L = 4.9434 \, \mathrm{cm}
The change in height of the Eiffel Tower is approximately:
4.9434cm \boxed{4.9434 \, \mathrm{cm}}

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