Question

Where the opening of a window is located more than ____ inches above the finished grade below, the lowest part of the clear opening of the window shall be a minimum of ____ inches above the finished floor.

Answer 1

To see the entire reflection, the bottom of the smallest mirror must be at or below the level of his eyes, which is half his total height, and the top must be the same distance above his eyes. Therefore, the mirror's total height must be 1.65 m, the same as the man's height.

Step-by-step explanation:

The student's question pertains to the Law of Reflection and how it applies to the use of mirrors. Based on the provided information, the height of the smallest mirror needed for a man to see his entire reflection can be calculated using optical principles.

The man's eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. To see the top of his head in the mirror, the bottom of the mirror must be at or below the level of his eyes. Due to the law of reflection, where the angle of incidence equals the angle of reflection, the height of the mirror above the floor must be at least half the height of the man. Consequently, the bottom of the smallest mirror would be 1.65/2 = 0.825 m above the floor, and the top of the mirror should also be 0.825 m above the man's eyes to see his feet, totaling 1.65 + 0.825 = 2.475 m. Therefore, the mirror’s total height should be 2.475 - 0.825 = 1.65 m, which is exactly the man's height.