Answer:
I am 39.29 km away from the starting point.
Step-by-step explanation:
To solve the present problem, the Pythagorean Theorem must be applied, which establishes that the hypotenuse of a right triangle is obtained by calculating the square root of the sum of the squares of its legs, that is, of its sides that form the right angle.
Thus, in the case the hypotenuse will have value X, while the legs measure 10 and 38 respectively. Then, the following mathematical operation must be performed:
X = (√10²+38²)
X = (√100 + 1,444)
X = √1,544
X = 39.29
Thus, after traveling 10 km in a straight line to the east and 38 km in a straight line to the north, I am 39.29 km away from the starting point.