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A building with a height of 21 m casts a shadow that is 24 m long while a taller building casts a 96 m long shadow. What is the height of the taller building?
Using similar triangles [tex] \frac{96}{24} = \frac{x}{21} \: so \\ 96 \times 21 = 24x \: which \: means \\ \frac{(96)(21)}{24} = x = 84 \\ is \: the \: height \: of \: the \: taller \: building[/tex]