The height of an object is directly proportional to the length of its shadow a tree that is 2.5 meters tall cast a shadow 5 meters long how tall is a building that cast a shadow 78 meters long

The height of the building that casts a shadow of 78m meters is 39m

Step-by-step explanation:

Let height be represented by H and the shadow is S

as they are directly proportional

H s

H=KS   ( where K is a proportionality constant)

H=2.5m , S= 5m

On substituting in the equation

2.5 = K*5

K= 0.5

Now the equation becomes

H = 0.5*S

Height when shadow is 78m

H= 0.5*78

H= 39m