Answer: 30m
Step-by-step explanation:
We can use The Pythagorean Theorem to solve this problem. The Pythagorean Theorem tells us the length of a hypotenuse (or largest side) of a right triangle given the length of its legs (other two sides). This formula is [tex]a^2+b^2=c^2[/tex], where a and b are the legs and c is the hypotenuse of the triangle.
Here, we can construct a right triangle with length 18m and height 24m. By calculating the length of the hypotenuse, we can basically calculate the distance from the starting point of the man to the ending point of the man. In other words, a and b are 18 and 24.
Let's calculate for c².
[tex]c^2=a^2+b^2\\c^2=18^2+24^2\\c^2=324+576\\c^2=900[/tex]
We can now calculate for c by taking the square root, or the inverse of the square, to find the value of c. In other words, what number should we multiply by itself to get 900. The correct answer would be 30, so the distance from the man's current position to his original position is 30m.
Hope this helps!
