(ii) Find the distance $AB$.

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Accepted Answer

Step 1: In $	riangle OBP$, $	an 30° = \frac{PB}{36} \Rightarrow PB = \frac{36}{\sqrt{3}} = 12\sqrt{3}$ cm.
Step 2: In $	riangle OAP$, $	an 45° = \frac{AP}{36} \Rightarrow AP = 36$ cm. $AB = AP - PB = 36 - 12\sqrt{3} = 12(3 - \sqrt{3})$ cm.

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