Question

How high is a tree that casts a 2222​-ftft shadow at the same time a 44​-ftft postpost casts a shadow which is 77​-ftft ​long?

Answer 1

Answer: The height of the tree is 12.57 ft.

Step-by-step explanation:

The height of a thing is proportional to the its shadow.

Let H = Height and S = length of shadow

Then by equation direct proportion , $\dfrac{H_1}{S_1}=\dfrac{H_2}{S_2}$       (i)

Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft ​long.

Put $S_1=22 ,\ H_2= 4,\ \ S_2=7$  in (i), we get

$\dfrac{H_1}{22}=\dfrac{4}{7}\\\\ H_1=\dfrac{4}{7}\times22\approx12.57$

Hence, the height of the tree is 12.57 ft.