a boy walks 2 miles east from his home ans then turns south and walks an additional 1.5 mile. how far is he from his home?
Use Pythagorean theorem.
2^2 + 1.5^2 = distance^2
To find how far the boy is from his home, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the boy's home, the distance he walked east, and the distance he walked south form a right triangle.
Step 1: Calculate the square of the distance he walked east.
The boy walked 2 miles east, so the distance he walked east squared is 2^2 = 4.
Step 2: Calculate the square of the distance he walked south.
The boy walked an additional 1.5 miles south, so the distance he walked south squared is 1.5^2 = 2.25.
Step 3: Add the squares of the two distances.
4 + 2.25 = 6.25
Step 4: Take the square root of the sum to find the total distance from his home.
√6.25 ≈ 2.5
Therefore, the boy is approximately 2.5 miles from his home.