Jainav is initially facing a certain direction. Then she turns 90° clockwise, after that she turns 180° anticlockwise. Then she turns 135° anticlockwise. She finally turns 180° clockwise. Now she is facing north-east direction. In which direction was Jainav initially facing before turning?
Explanation:
Let clockwise turns be positive and anticlockwise be negative. Total turn = +90° - 180° - 135° + 180° = -45° (which means 45° anticlockwise). Her final direction is North-East. If she arrived at North-East after a 45° anticlockwise turn, her initial direction must have been East.
A man starts walking towards South and after taking a left turn he walks 30 metres. If he was then at a distance of 50 meters from the starting point, how much distance had he covered before turning to the left?
Explanation:
This forms a right triangle where the final hypotenuse distance is 50m, and one leg (the horizontal walk) is 30m. The vertical walk (y) is found using Pythagoras: y² + 30² = 50² -> y² + 900 = 2500 -> y² = 1600 -> y = 40m.
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