Question

Please help me i need help ASAP!!!!!!!!

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?

Answer 1

Using similar triangles

`(96)/(24) = (x)/(21) \: so \\ 96 * 21 = 24x \: which \: means \\ ((96)(21))/(24) = x = 84 \\ is \: the \: height \: of \: the \: taller \: building`