A building with a high today 14 m cast a shadow that is 16 m long while a taller building cast a 24m long shadow. What is the height of the taller building?

Respuesta :

Let h = the height of the taller building: 14 m          h--------  =  -------16 m        24 m Solve for h. ------------ Geometrically, you can compute the scale factor of the two similar figures by taking the ratio of their shadows (larger to smaller): Scale Factor = 24/16 = 3/2 The taller building will thus equal the height of the smaller building times the scale factor: h = (14 m)*(3/2) =21 m