A woman at a window 30 m up a building sees the top of a flag pole 25 m away. What is the angle of elevation from the woman's window to the top of the flag pole?

Step 1: Draw a diagram and label the known values.
Let A be the position of the woman at the window, and B be the foot of the building. So, the height of the building is $AB = 30 \text{ m}$.
Let D be the foot of the flag pole, and C be the top of the flag pole.
The horizontal distance between the building and the flag pole is $BD = 25 \text{ m}$.
Draw a horizontal line AE from A, parallel to BD, such that E is on the vertical line passing through C and D.
This forms a rectangle ABDE.
Therefore, $AE = BD = 25 \text{ m}$.
And $ED = AB = 30 \text{ m}$.