Question

A pole that is 3.3m tall casts a shadow that is 1.31 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building?

Answer 1

To find the height of the building, set up a proportion between the height of the pole and its shadow, and the height of the building and its shadow. Solve for the height of the building.

Step-by-step explanation:

To find the height of the building, we can set up a proportion between the height of the pole and its shadow, and the height of the building and its shadow. Let x be the height of the building. The proportion can be written as 3.3/1.31 = x/46.5. Cross-multiplying, we get 3.3 * 46.5 = 1.31 * x. Solving for x, we find that the height of the building is approximately 82.88 meters.