Suppose that you want to know how tall a building is. You are standing 60 meters from a flagpole that you know is 35 meters tall. Along the same straight line, you are standing 170 meters from the front of the building.

Notice that the triangle formed by you and the flagpole and the triangle formed by you and the building are similar (you can form the smaller triangle from the larger one by dilation). Using this fact, determine the height of the building.

1. Determine the height of the building using the scale factor r.
2. Determine the height of the building using ratios within the two triangles.
3. Determine the height of the building using ratios between the two triangles.
4. If the angle indicated at the flagpole in the figure measures 60 degrees, what does the unknown angle at the top of the building measure?