In a spacious dance studio, three friends--Kiran, Chioma, and Takumi--are practicing a contemporary dance routine. The studio is rectangular, with one wall entirely made of mirrors, and the opposite wall having large windows that allow natural light to stream in. Kiran, the choreographer, stands in front of the mirrored wall, facing the windows, so he can observe the reflections of the others as they practice the routine.

Chioma and Takumi are positioned between Kiran and the windows, with Chioma standing directly in front of Kiran, and Takumi standing to her right. Kiran is giving feedback on their movements and the expression of the dance. He notes that Chioma's movements are fluid and match the pace of the music perfectly. However, he cannot directly observe Takumi's movements because Chioma is inadvertently blocking his view.

Takumi, understanding the issue, suggests shifting positions. He proposes he should stand in front of Kiran, while Chioma moves to where he was, to Takumi's original right side. Kiran agrees to the change and instructs them to move to the new positions without altering their orientations; that is, everyone should keep facing the same direction as they were before.

After repositioning, Chioma is now closer to the mirrored wall and has shifted to the right side of Kiran, while Takumi is directly in front of Kiran. Given this new arrangement, there is an unexpected twist in the visibility: while Kiran can see Takumi's reflection in the mirror when he looks straight ahead, he will encounter an issue with viewing Chioma's movements.

Based on this spatial arrangement and the properties of reflections, identify the issue Kiran faces with regard to watching Chioma's movements, and explain how his perspective of Takumi's dance has changed. What can Kiran now see, and what has become hidden from his view based on the placement of the dancers and the properties of the mirror?

Respond briefly.
With the repositioning of the dancers, Kiran now has a clear view of Takumi, both directly and through Takumi's reflection in the mirror, as Takumi stands between Kiran and the mirrored wall, facing the windows. This direct line of sight ensures that Kiran can easily observe and correct Takumi's movements.

The issue that Kiran now faces with regard to watching Chioma's movements is multifaceted. Since Chioma has moved to the right and is closer to the mirrored wall, her reflection in the mirror is no longer directly in front of Kiran when he looks straight ahead. The angle of reflection means that her reflection has also moved to the right, closer to the edge of the mirrored wall. Kiran must now adjust his line of sight; he has to turn his head to the right to see Chioma's reflection. This repositioning also means that Kiran's view of Chioma is only through her reflection; he cannot see her directly because Takumi is between them.

The change also affects Kiran's perspective of Takumi's dance. Previously, Kiran could not see Takumi's moves at all since Chioma was blocking his view, but now he can observe Takumi's full body movements without obstruction. However, by focusing on Takumi, Kiran might miss details of Chioma's dance in the mirror if he does not turn his head to the right position to catch her reflection.

Kiran can now see Takumi directly in front of him, but he can only see Chioma in the mirror and will need to adjust his position to keep her in view. This adjustment means that Kiran's attention must be divided between observing Takumi directly and monitoring Chioma's reflection, which may complicate his ability to provide immediate and accurate feedback to both dancers.