Apole that is 3m tall casts a shadow that is 1.22m long. at the same time, a nearby building casts a shadow that is 38.5m long. how tall is the building? round your answer to the nearest meter.

Refer to the diagram shown below.

The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).

The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore


Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m

141 m (nearest meter)