Question

A tower of 24 meters high, cast a shadow of 16 meters. The height of a tree that casts a shadow of 12 meters is?

Answer 1

Answer:

Step-by-step explanation:

24:16::x:12

x = 24*12/16

= 18

Answer 2

Answer:

18m

Step-by-step explanation:

The two triangles so formed by the tree, shadow and the line joining their ends

will be similar by AA similarly criteria

As one angle in both will be 90° and the other angle is the angle of elevation of the sun. therefore the triangles will be similar then the sides will be proportional.

Let the height of tree be x then

24/16=x/12

x=18m

Hope you got your answer for easy understanding try to make the diagram of the triangles!