Reena walked from A to B in the East 10 feet. Then she turned to the r...
Steps to solve the problem:
1. Initial Movement:
- Reena walked East from point A for 10 feet.
- This means she moved 10 feet to the right.
2. First Turn:
- Reena turned to the right and walked 3 feet.
- This forms a right-angled triangle with 10 feet as the base and 3 feet as the perpendicular.
3. Calculating the Hypotenuse:
- Using the Pythagorean theorem (a^2 + b^2 = c^2), where a = 10 feet, b = 3 feet.
- Calculating the hypotenuse, we get c = √(10^2 + 3^2) = √(100 + 9) = √109 ≈ 10.44 feet.
4. Second Turn:
- Reena turned to the right again and walked 14 feet.
- This creates a new right-angled triangle with the previous hypotenuse as the base and 14 feet as the perpendicular.
5. Calculating the Final Distance:
- Using the Pythagorean theorem again, where a = 10.44 feet (previous hypotenuse), b = 14 feet.
- Calculating the final distance, we get c = √(10.44^2 + 14^2) = √(108.9 + 196) = √304.9 ≈ 17.47 feet.
Therefore, Reena is approximately 17.47 feet away from point A after walking 10 feet East, then 3 feet right, and finally 14 feet right again. So, the closest option is 5 feet (option B).