Browse · MATH
Printjmc
prealgebra intermediate
Problem
Henry walked on a flat field 9 meters due north from a tree. He then turned due east and walked 24 feet. He then turned due south and walked 9 meters plus 32 feet. How many feet away from his original starting point is Henry?
Solution
We are dealing in both meters and feet in this problem, which can be confusing. A careful reading, however, reveals that the 9 meters that Henry walked due north are later eliminated by the 9 meters that he walked due south. At the end, Henry is 24 feet east and 32 feet south of his original location. These are the two legs of a right triangle, so we can figure out the length of the hypotenuse of the triangle using the Pythagorean Theorem. Actually, 24 is and 32 is , so this is just a multiple of the 3-4-5 triangle. The hypotenuse - and Henry's distance from his starting point must be .
Final answer
40\text{ feet}