The Telephone & Telex section of the front office handles telecommunication services for guests, such as telephone calls, fax, or messages. It also maintains billing for these services.
Cash and bills: Deals with guest billing and payments.
Concierge: Assists guests with information, reservations, and transportation.
Travel desk: Manages travel arrangements and bookings for guests.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.