An ant starts at a foot of a staircase and crawls to the base of the fourth step. If each step is 8 inches tall and 10 inches wide, how far is the ant from where it began? The answer is 6(square root of 41) or 38.4. I have no clue in how to get to that answer.

2 answers

the ant has gone 3 times the distances, or

30 inches along, and 24 inches up. Using your distance formula, the final displacement is

√(30^2+24^2)
= 6√(5^2+4^2)
= 6√41
Thank you, but how do you know the ant went 3 times the distances? When I was trying to figure it out, I thought that the ant would go 4 times the distance. Other than that, detailed and self-explanatory. Thank you