The building, illuminated by the sun’s rays, casts a shadow with a length of a = 36m, a vertical pole with a height of 2.5m

The building, illuminated by the sun’s rays, casts a shadow with a length of a = 36m, a vertical pole with a height of 2.5m casts a shadow with a length of 3m. Find the height of the building.

The height of the building can be found from the ratio:

H / h = L / l, where H is the height of the building (m), h is the height of the pole (h = 2.5 m), L is the length of the shadow of the building (L = 36 m), l is the length of the shadow of the pole (l = 3m ).

Let’s express and calculate the height of the building:

H = L * h / l = 36 * 2.5 / 3 = 30 m.

Answer: The height of the building is 30 m.