As per the question,∠ABP=∠QPA=71°\angle ABP = \angle QPA= 71\degree∠ABP=∠QPA=71°
PQ=1.68 mPQ=1.68\ mPQ=1.68 m
a) PQAP=cos 71° ⟹ \frac{PQ}{AP}=cos \ 71\degree\impliesAPPQ=cos 71°⟹
AP=PQcos 71°=1.680.325=5.16 mAP=\frac{PQ}{cos \ 71\degree}=\frac{1.68}{0.325}= 5.16\ mAP=cos 71°PQ=0.3251.68=5.16 m
b) APAB=sin 71° ⟹ AB=APsin71°=5.160.945=5.46 m\frac{AP}{AB}=sin \ 71\degree \implies AB= \frac{AP}{sin 71\degree}= \frac{5.16}{0.945}=5.46\ mABAP=sin 71°⟹AB=sin71°AP=0.9455.16=5.46 m
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