Food can be classified into three categories based on how long it can be stored:
| \(\text{Type of Food}\) | Examples | Storage Method |
|---|---|---|
| Perishable | Milk, vegetables, meat | Refrigeration (0 - 5°C) |
| Semi - Perishable | Onions, nuts, cereals | Cool, ventilated areas |
| Non - Perishable | Rice, sugar, canned food | Dry, sealed containers |
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. 
In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$. 