Question

1. Kyle has a baseball game after school. He drives 6 miles due west from his home to school. After school, he drives 5 miles due north to the baseball field, as shown on the grid below What is the straight-line distance from the baseball field to Kyles home, to the nearest tenth of a mile? A. 3.3 miles B. 5.5 miles C. 7.4 miles D. 7.8 miles

Answer 1

D. 7.8 miles.

Explanation:

So, to solve this, you need to use the Pythagorean theorem to find the distance from the baseball field to his home. You know two of the sides of the triangle formed, 6 and 5. The Pythagorean theorem is a² + b² = c². In this case, it would be 6² + 5² = c². If you solve this, you would find that c is 7.81024967591. Just round it to the nearest tenth like instructed. This would get you 7.8 as the answer.

Extra work just in case:

6² + 5² = c²

36 + 25 = c²

61 = c²

`√(61)` =
`\sqrt{c^(2) }`

7.8 ≈ c

Visual just in case: