A man goes 35 m due west and then 12 m due north.how far is he from the starting point
( 12) + (35)=x
144+1225= x
1369 = x
37=x
√(35^2 + 12^2) = ?
A man goes 35m due west and then 12m due north how far is he from the starting point
To find the distance from the starting point to the final position, we can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the man's path forms a right-angled triangle. The 35 m distance west is one side of the triangle (let's call it side A), and the 12 m distance north is another side (let's call it side B). The distance we want to find is the hypotenuse (let's call it side C).
Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:
C^2 = A^2 + B^2
C^2 = (35^2) + (12^2)
C^2 = 1225 + 144
C^2 = 1369
Taking the square root of both sides:
C ≈ √1369
C ≈ 37
Therefore, the man is approximately 37 meters away from the starting point.