Ram goes 10 m east, then take a right turn and walk 15m and again take...
Given information:
- Ram goes 10 m east, then takes a right turn and walks 15 m.
- Ram then takes another right turn and walks 20 m.
Calculating the approximate distance from the starting point:
To calculate the distance from the starting point, we need to find the displacement in both the x and y directions.
- Ram goes 10 m east, which means he moves 10 m in the positive x direction.
- Then he takes a right turn and walks 15 m, which means he moves 15 m in the positive y direction.
- Finally, he takes another right turn and walks 20 m, which means he moves 20 m in the negative x direction.
The displacement in the x direction is the sum of the distances in the positive and negative x directions, which is 10 m - 20 m = -10 m.
The displacement in the y direction is the distance in the positive y direction, which is 15 m.
To find the approximate distance from the starting point, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Using this theorem, we can calculate the distance from the starting point as follows:
distance = sqrt((-10)^2 + 15^2)
= sqrt(100 + 225)
= sqrt(325)
≈ 18.03
Therefore, the approximate distance of Ram from the starting point is 18.03 m.
Determining the direction:
To determine the direction, we need to consider the signs of the displacements in the x and y directions.
- The displacement in the x direction is -10 m, which means Ram is to the left of the starting point.
- The displacement in the y direction is 15 m, which means Ram is above the starting point.
Combining these directions, we can say that Ram is in the southwest direction from the starting point.
Therefore, the correct answer is option B, which states that the approximate distance of Ram from the starting point is 18 and he is in the southwest direction.