Carl walked 4 m west and 5 m south. Calculate how far he is from his starting point?
6.4
carl walk 6m
This is so sweet but I was facing the support of the object
To calculate the distance Carl is from his starting point, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we can consider Carl's starting point as the origin (0, 0) on a coordinate grid. Walking 4 m west means he moves 4 units to the left along the x-axis. Walking 5 m south means he moves 5 units down along the y-axis.
So, we have a right triangle with the following sides:
- The horizontal distance from the origin to Carl's new position is 4 units (x-axis).
- The vertical distance from the origin to Carl's new position is 5 units (y-axis).
Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the straight-line distance from Carl's starting point to his current position) as follows:
Hypotenuse^2 = (horizontal distance)^2 + (vertical distance)^2
Hypotenuse^2 = 4^2 + 5^2
Hypotenuse^2 = 16 + 25
Hypotenuse^2 = 41
To find the length of the hypotenuse, we take the square root of both sides:
Hypotenuse = √(41)
So, Carl is approximately 6.40 meters away from his starting point.
recall the distance formula:
√(4^2 + 5^2)