15.5k views
4 votes
How high is a tree that cast a 23ft shadow at the same time

a 9ft post casts a shadow which is 11ft long ​

User Gnrfan
by
5.7k points

1 Answer

4 votes

Answer:

tree is about 18.82 ft high

Explanation:

The triangles (that are formed by the tree and the poll with their shadows and the line from top to the end of the shadow) are in proportion because they cast the shadow at the same time.

x/9 = 23/11 , we write the proportions

x = 23*9 / 11, multiply both sides by 9

x ≈ 18.82 ft.

How high is a tree that cast a 23ft shadow at the same time a 9ft post casts a shadow-example-1
User Naaooj
by
6.3k points