Question 1205434

a person {{{2m}}} tall casts a shadow {{{5m}}} long

at the same time, a building casts a shadow {{{24m}}} long

both person and building with their shadows forming right triangle each, and triangles are similar

corresponding sides of similar triangles are {{{proportional}}}


let the height of building be {{{h}}}, than we have


{{{h/24=2/5}}}...cross multiply

{{{5h=2*24}}}

{{{5h=48}}}

{{{h=48/5}}}

{{{h=9.6}}}

the building is {{{9.6m}}} tall