The correct answer is:
180 cm
Explanation:
In rt. angled â–³ABP,
$ \displaystyle \dfrac{{AB }}{{AP}}$ ​= sin30°
⇒ $ \displaystyle \dfrac{{60}}{{AP}}$​= $\displaystyle \dfrac{1}{2}$Â
⇒ AP = 60 × 2
⇒AP = 120 cm.
 In rt. angled ΔADQ, $\displaystyle \dfrac{{AD}}{{AQ}}$ = sin30° ⇒$\displaystyle \dfrac{{30}}{{AQ}}$ =$\displaystyle \dfrac{1}{2}$​
⇒ AQ= 30 × 2
⇒AQ = 60 cm.
Hence, AP + AQ = 120 + 60 = 180Â cm.
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