Plane Mirror Optics: Determining Minimum Mirror Size for Viewing Entire Image

[Speedking96]

Homework Statement

While you were looking at the reflection of your feet in a plane mirror,
you saw a dark spot on the glass. Assuming your height is 1.50 m, and that
the eyes are located 0.1 m below the top of the head

(a) What is the distance between the spot and the floor?

(b) What is the minimum amount of mirror needed to see your entire image?

2. The attempt at a solution

I have correctly solved part (a) using a scaled diagram; however, I am having a hard time understanding part (b). This is because, logically, wouldn't your position, relative to the mirror dictate the amount of mirror needed to see the entire image? If someone could please point me in the right direction. Thank you.

 

[Doc Al]

This is because, logically, wouldn't your position, relative to the mirror dictate the amount of mirror needed to see the entire image?

Draw a diagram. Hint: If you stand a distance "d" from the mirror, how far away is your image.