129,618 views
13 votes
13 votes
A stick 1 meter long casts a shadow 1.4 meters long. A building casts a shadow 21 meters long. How tall is the building (to 2 decimal places)

User Miro Hudak
by
2.5k points

1 Answer

18 votes
18 votes

Explanation:

similar triangles.

all angles are the same in both triangles.

and the ratio of the lengths of a pair of corresponding sides in both triangles is the same for all corresponding side pairs.

so,

21 / 1.4 = height / 1 = height = 15

the building is 15.00 meters tall.

User Abdelrhman Arnos
by
3.2k points