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Riya walked 90 m towards the north from her house, and then took a right turn and walked 60 m to reach the market. Then, she took a left turn and walked a few meters from the market to reach the post office, from where she took a left again and walked 160m to reach the school, if the air distance between her school and house is 260m, what is the aerial distance between market and the post office?

Riya walked 90 m towards the north from her house, and then took a right turn and walked 60 m to reach the market. Then, she took a left turn and walked a few meters from the market to reach the post office, from where she took a left again and walked 160m to reach the school, if the air distance between her school and house is 260m, what is the aerial distance between market and the post office? Correct Answer 150 m

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Let H denote Riya’s house, S denote Riya’s school, M denote market and P denote post-office.

By Pythagoras’ theorem,

HS2 = AS2 + HA2

2602 = 1602 + HA2

Therefore, HA = 240 m.

PM = 240 - 90 = 150 m.

Hence, the correct answer is 150 m.

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