Leah walks to soccer practice on Saturday. She leaves her home and walks 6 blocks north. Leah then turns east and walks 4 more blocks to the soccer field. How far is the soccer field from Leah’s home? Round your answer to the nearest tenth.
To find the distance from Leah's home to the soccer field, we can use the Pythagorean theorem.
Let the distance from Leah's home to the soccer field be represented by the hypotenuse of a right triangle. The northward distance she walked is one leg, which is 6 blocks, and the eastward distance she walked is the other leg, which is 4 blocks.
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2,
where c is the hypotenuse, and a and b are the other two sides.
Plugging in the values, we get:
c^2 = 6^2 + 4^2,
c^2 = 36 + 16,
c^2 = 52.
Taking the square root of both sides, we find:
c = √52,
c ≈ 7.2 blocks.
Therefore, the soccer field is approximately 7.2 blocks from Leah's home.