A 6ft tall man casts a shadow of 4ft. A building casts a shadow of 30ft. Find the height of the building

Answer 1

To solve this problem you need to use proportions.

man casts a shadow=6ft height of shadow=4ft

height of the building= ? height of shadow building=30ft

The proportion would be this:

4

__ =. x

6. __

30

You have to cross multiply.

(4)(30)=(6)(x)

The equation you get is this:

120=6x

___. __

6. 6

The solution after you divide both sides of the equation is 20.

ANS: x=20

Answer 2

Draw a figure and look at the similar triangles.

6/4 = x/30