A shoe shop installs a mirror on a wall so that shoppers can check their shoes. The mirror has a length of $50\,\text{cm}$. One customer’s eyes are $150\,\text{cm}$ above floor level. The lower edge of the mirror is at a height of $h$ above the ground. What is the minimum value of $h$ needed for the customer to see an image of his shoes in the mirror?
- A$0\,\text{cm}$
- B$25\,\text{cm}$
- C$50\,\text{cm}$
- D$75\,\text{cm}$