What is the height of the taller building

Question

A building with height of 14 m casts a shadow that is 16 m long while a taller building casts 24 m long shadow.

Answer 1

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) = _______