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

Answer:

$14\frac{2}{11}$ ft

Step-by-step 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:

$\frac{x}{26} =\frac{6}{11}$

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

11x = 6*26

11x = 156

x =  $14\frac{2}{11}$