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Ram goes 10 m east, then take a right turn and walk 15m and  again take a right turn and walk 20m. Calculate the approximate distance of ram from starting point and in which direction he is now from starting point.
  • a)
    19 and south west
  • b)
    18 and south west
  • c)
    19 and south east
  • d)
    18 and south east
Correct answer is option 'B'. Can you explain this answer?
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Calculation:
Ram goes 10m east, then takes a right turn and walks 15m, and again takes a right turn and walks 20m.
To find the approximate distance from the starting point, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's consider the distance Ram walks east as side a, the distance he walks south as side b, and the distance from the starting point as the hypotenuse (c).
Using the Pythagorean theorem:
c² = a² + b²
c² = (10)² + (15 + 20)²
c² = 100 + 625
c² = 725
c ≈ √725
c ≈ 26.91m
So, the approximate distance of Ram from the starting point is 26.91m.

Direction:
To determine the direction Ram is now from the starting point, we can use trigonometry.
Let θ be the angle made by the distance from the starting point with respect to the east direction.
tan(θ) = opposite/adjacent
tan(θ) = 35/10
θ ≈ tan⁻¹(3.5)
θ ≈ 74.05°
Since Ram is south and west of the starting point, the direction can be approximated to south-west.
Therefore, Ram is approximately 18m away from the starting point in the south-west direction.
Therefore, the correct answer is option B - 18m and south-west.
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Ram goes 10 m east, then take a right turn and walk 15m and again take a right turn and walk 20m. Calculate the approximate distance of ram from starting point and in which direction he is now from starting point.a)19 and south westb)18 and south westc)19 and south eastd)18 and south eastCorrect answer is option 'B'. Can you explain this answer?
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