geometry need help

Question

a flagpole that is 12 ft. tall casts a 16 ft. shadow. At the same time a nearby house casts a 32 ft shadow. Find the height of the house, if the right triangles formed by the flagpole and its shadow is similar to the right triangle formed by the house and its shadow

Answer 1

Let x = height of the house

Using similar triangles, x / 32 = 12 / 16

16x = 384

x = 24 ft

Answer 2

flag- a^2+b^2=c^2

144+256=400^.5=20

house- b=32; double the standings of the flagpole.

a=24; b=32; c=40