Ross walked 3 m east and 6 m north. How far is he from the starting point?
6 m
6.5 m
6.7 m
7 m
To find the distance from the starting point, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the east and north directions form the two sides of a right triangle, and the distance from the starting point is the hypotenuse.
Using the Pythagorean theorem, we can calculate:
Distance^2 = (3^2) + (6^2)
Distance^2 = 9 + 36
Distance^2 = 45
Taking the square root of both sides, we get:
Distance = √45
Rounding to the nearest whole number, the distance is approximately 6.7 m.
Therefore, the correct answer is 6.7 m.
To find the distance Ross is from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the distance walked east is the horizontal leg and the distance walked north is the vertical leg.
By applying the Pythagorean theorem, we can calculate the distance:
Distance = √(3^2 + 6^2)
= √(9 + 36)
= √45
≈ 6.7 m
Therefore, Ross is approximately 6.7 m away from the starting point.
Hence, the answer is 6.7 m.