---
title: "A person of total height \\(H = 1.60 \\text{ m}\\) stands upright at a distance \\(d = 1.5 \\text{ m}\\) in front of a flat, vertical mirror mounted on a wall. The person’s eyes are located \\(0.10 \\text{ m}\\) below the top of their head. Which of the following correctly states the minimum vertical length of the mirror required for the person to view their complete reflection from head to toe, and describes how this required length changes if the person moves to a distance of \\(3.0 \\text{ m}\\) from the mirror?"
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url: "https://nerd-notes.com/ubq/117291/"
date_modified: "2026-08-04T06:45:16+00:00"
---

# A person of total height \(H = 1.60 \text{ m}\) stands upright at a distance \(d = 1.5 \text{ m}\) in front of a flat, vertical mirror mounted on a wall. The person’s eyes are located \(0.10 \text{ m}\) below the top of their head. Which of the following correctly states the minimum vertical length of the mirror required for the person to view their complete reflection from head to toe, and describes how this required length changes if the person moves to a distance of \(3.0 \text{ m}\) from the mirror?

A person of total height \(H = 1.60 \text{ m}\) stands upright at a distance \(d = 1.5 \text{ m}\) in front of a flat, vertical mirror mounted on a wall. The person's eyes are located \(0.10 \text{ m}\) below the top of their head. Which of the following correctly states the minimum vertical length of the mirror required for the person to view their complete reflection from head to toe, and describes how this required length changes if the person moves to a distance of \(3.0 \text{ m}\) from the mirror?

![A side-view schematic diagram showing a person standing upright on a flat horizontal floor in front of a vertical wall-mounted mirror. The person is represented as a vertical figure of total height H. The mirror is shown as a thin vertical line on a wall at horizontal distance d from the person. A horizontal dimension arrow below the floor marks distance d between person and mirror. A vertical dimension arrow beside the person marks total height H. Eye level is indicated by a small mark near the top of the figure. No light rays, reflection angles, or image locations are drawn. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785825916-NrV9Ps.jpg)

- **A.** Minimum length: \(1.60 \text{ m}\); Effect: Decreases
- **B.** Minimum length: \(1.60 \text{ m}\); Effect: Remains unchanged
- **C.** Minimum length: \(0.80 \text{ m}\); Effect: Decreases
- **D.** Minimum length: \(0.80 \text{ m}\); Effect: Remains unchanged

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117291/*