If an observer sees Venus blazing brilliantly an hour or two after sunset, what is this phase called and what determines its path toward setting?
Answer
Evening Star; it follows a path determined by Earth's rotation, leading it to set in the west.
Seeing Venus an hour or two after sunset confirms it is the Evening Star. In this phase, it is visible in the western sky, moving away from the Sun's position. Although Venus has its own intrinsic rotation, its movement across the sky from the observer's perspective on Earth is overwhelmingly governed by the Earth's daily west-to-east rotation. Therefore, the Evening Star is expected to proceed toward setting in the west, following the general track established by the Sun.

Related Questions
What is the observed direction of the Sun from the surface of Venus due to its retrograde rotation?Why is Venus never observed high in the sky at midnight from Earth?When Venus appears as the Morning Star, what general direction must it rise in our sky?What direction does Venus generally set when visible as the Evening Star?What is the fundamental mechanism causing the Sun and Venus to appear to move from East to West across the heavens?What astronomical phenomenon dictates the constantly changing specific point on the eastern horizon where Venus appears?If an observer sees Venus blazing brilliantly an hour or two after sunset, what is this phase called and what determines its path toward setting?How long is Venus's rotation period compared to its orbital period around the Sun?What observation confirms that Venus, visible before dawn, is currently in its morning phase?For observers at a mid-northern latitude, what causes Venus to appear low in the southwestern sky after sunset during late winter and early spring?If an astronomy application shows Venus's rising azimuth as 105 degrees, what does this indicate about its morning rise point?