Oh I am tired of walking

Geometry Level 3

It was 6'o clock in the morning. I walked 90m south of my house. Then I turned in the direction opposite to the sun and walked 210m. Then I turned 135 degrees in the clockwise direction and kept on moving in that direction till I reached a road north of my house. Now I want to go to a park which is 120m east of my house. What is the shortest distance and in which direction I have to walk to reach the park?

150m Southeast 269.68m Northeast 169.68m Northeast 169.68m Southeast 120m Southeast 150m Northwest

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