A dog walks 24 steps north and then walks 55 steps west to bury a bone. If the dog walks back to the starting point in a straigh
t line, how many steps will the dog take and in which direction will the dog walk? On paper, use the graphical method to find the magnitude of the net displacement.
The dog should walk 60 steps to the southeast to return to its starting point.
Explanation:
To solve the present mathematical problem, we must use the Pythagorean theorem. This establishes that in right triangles the sum of their squared legs is equal to the hypotenuse squared, that is:
A ^ 2 + B ^ 2 = X ^ 2
Thus, in the case, the calculation would be the following:
24 ^ 2 + 55 ^ 2 = X ^ 2
576 + 3,025 = X ^ 2
√3,601 = X
60 = X
Therefore, the dog should walk 60 steps to the southeast to return to its starting point.
