Step 1 :The problem involves trigonometry. Specifically, it involves the tangent of the angle of elevation, which is the ratio of the opposite side (the height of the building) to the adjacent side (the distance from the base of the building). Therefore, the height of the building can be calculated as the tangent of the angle of elevation times the distance from the base of the building.
Step 2 :Given: angle = 30 degrees, distance = 650 feet
Step 3 :Convert the angle to radians: angle_rad = 0.5235987755982988
Step 4 :Calculate the height of the building: height = 650 * tan(angle_rad) = 375.27767497325675 feet
Step 5 :Final Answer: The expression to calculate the height of the building is \(\boxed{650 \cdot \tan(30^{\circ})}\). The height of the building is approximately \(\boxed{375.28}\) feet.