Question

How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long

Answer 1

`14(2)/(11)` ft

Explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

`(x)/(26) =(6)/(11)`

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =
`14(2)/(11)`