A pole that is 3.3 meters tall casts a shadow that is 1.36 meters long. At the same time, a nearby building casts a shadow that is 47.75 long. How tall is the building?

Height of building is 115.86 m.

Step-by-step explanation:

This is problem of proportion.

a:b = c:d

height of pole = 3.3 m

length of shadow of pole = 1.36 m

ratio

height of pole: length of shadow of pole = 3.3 : 1.36

let the height of building= x m

length of shadow of building= 47.75 m

ratio

height of building: length of shadow of building= x: 47.75

ratio in both the cases will be same

thus,

x/47.75 = 3.3 / 1.36

=> x = 3.3 / 1.36 * 47.75 = 115.86

Thus, height of building is 115.86 m.