SOLUTION: Another word problem and I don't know where to begin. Please, Please, Please, help me to figure this out. Suppose you travel north for 35 kilometers then travel east 65 kilomet

Algebra ->  Radicals -> SOLUTION: Another word problem and I don't know where to begin. Please, Please, Please, help me to figure this out. Suppose you travel north for 35 kilometers then travel east 65 kilomet      Log On


   



Question 42614: Another word problem and I don't know where to begin. Please, Please, Please, help me to figure this out.
Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.
Answer:
Show work in this space.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem, consider the northern leg of the trip as one leg of a right triangle 35 Km long. The eastern leg can be considered as the perpendicular leg of the right triangle 65 Km long.
You are asked to find the straight-line distance from the starting point which, in reality, forms the hypotenuse of this right triangle. You can use the Pythagorean theorem c%5E2+=+a%5E2+%2B+b%5E2 where a = 35 Km and b = 65 Km and c is the straight-line distance from the starting point.
c%5E2+=+35%5E2+%2B+65%5E2
c%5E2+=+1225+%2B+4225
c%5E2+=+5450 Take the square root of both sides and use only the positive result.
c+=+73.8Km