b) A tree that is 3 m tall casts a shadow that is 2 mlong.At the same time, a nearby building casts a shadow that is 25 m long.How tall is the building?

## Step 1: Setting up the proportion### We can set up a proportion relating the height of the tree to its shadow length, and the height of the building to its shadow length. Let be the height of the building. The proportion is .## Step 2: Solving for x### To solve for , we can cross-multiply: . This simplifies to .## Step 3: Finding the height### Dividing both sides by 2, we get .