A building casts a shadow 25 m long. at the same time, the shadow cast by a 44-cm tall pole is 59 cm long. find the height of the building.

In geometry, a cuboid is a solid shape or a three-dimensional shape.
A convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid.
A cuboid is also called a rectangular prism. A cuboid with six square faces is called a cube.

For this, we are going to be using proportions to solve. But firstly, we have to convert cm to m. For this, I'll be using dimensional analysis:

[tex]\frac{44 cm}{1} * \frac{0.1 cm}{1} = \frac{0.44}{1} = 0.44 m[/tex]

[tex]\frac{59 cm}{1} * \frac{0.01 m}{1 cm} = \frac{0.59}{1} = 0.59 m[/tex]

Now that we have everything in meters, we can put it into proportions. In this case, our proportion is [tex]\frac{x}{25} = \frac{0.44}{0.59}[/tex]

0.59 x = 11

Next, divide both sides by 0.59, and your answer will be x = 18.6 m, or D.

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