Question

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along $\overrightarrow{OP}$ to a point $P\text{'}$ of the cylinder.

Does the North Pole (pointN) have an image?

Short answer

The North Pole $\left(\text{Point}N\right)$ does not have an image.

Step-by-step solution

Step 1. Given Information.

It is given that a piece of paper is wrapped around a globe of earth to form a cylinder as shown. $O$is the center of the earth and a point P of the globe is projected along $\overline{OP}$ to a point $P\text{'}$ of the cylinder

Step 2. Explanation.

As the piece of paper in a circle form, the top of the cylinder is open. Therefore, the point N of the globe cannot leave image.

Step 3. Conclusion.

Therefore, the North Pole $\left(\text{Point}N\right)$ does not have an image.