Anurag and Bhavna started driving from the same point. Anurag drove North for 11 km, then turns right and covers 13 km. Bhavna goes West and covers 15 km, then turns right and cove... Anurag and Bhavna started driving from the same point. Anurag drove North for 11 km, then turns right and covers 13 km. Bhavna goes West and covers 15 km, then turns right and covers 11 km. How far apart are they from each other in a straight line? Read more

Steps to Solve

1. Understand Anurag's Movement Anurag starts at the origin (0, 0) and drives North for 11 km. This means his new position is $(0, 11)$.

2. Calculate Anurag's Right Turn After driving North, Anurag turns right. Since he was traveling North, turning right means he will now head East. He drives 13 km East. His new position is: $$ (0 + 13, 11) = (13, 11) $$

3. Understand Bhavana's Movement Bhavana starts at the origin (0, 0) and drives West for 15 km. This means her new position is: $$ (0 - 15, 0) = (-15, 0) $$

4. Calculate Bhavana's Right Turn After going West, Bhavana turns right, which means she now heads North. She drives 11 km North. Her new position is: $$ (-15, 0 + 11) = (-15, 11) $$

5. Find the Distance Between Anurag and Bhavana To find the distance between Anurag and Bhavana, we use the distance formula: $$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$ Where Anurag's coordinates are $(13, 11)$ and Bhavana's coordinates are $(-15, 11)$.

6. Plug in the Coordinates Using the distance formula: $$ d = \sqrt{((-15 - 13)^2 + (11 - 11)^2)} $$

7. Calculate the Distance Calculating the differences: $$ d = \sqrt{(-28)^2 + 0} = \sqrt{784} = 28 \text{ km} $$