Question

soniya apne gher se chAli or 4 kilometer purve ki or gyi, ,tb bah baayen ghumi or 4 kilometer chali phir bah daayen ghumi or 4 kilometer chali , bah prasthaan isthal se kitni doori per hai

Answer 1

See the figure.. And let the point of intersection be O

In Triangle AOQ and POB

<PBO = <QAO ( each 90°)

<BPO = <AQO ( AQ || BP)

BP = AQ ( each 4 km)

So,

Triangle AOQ is congurent to triangle POB

=> AO = BO

Now,

AO + BO = AB

=> AO + AO = 4

=> 2 AO = 4

=> AO = BO = 2 km


NOW,


In Triangle AOQ

By Pythagoras theoram,

PO = sqrt ( 4^2 + 2^2)

= sqrt ( 16 + 4)

= sqrt ( 20)

= 2 root 5


Distance from starting point to final point = PQ

= 2 × PO


= 2 × 2 × root 5

= 4 × root 5

= 4 × 2.23

= 8.9 km (approx..)