Question

HELPPP! Cari knows that it is a 45 mile drive from her house to the airport. She also knows that it is a 45 mile drive from her house to her grandparents house in the woods. How many miles is it directly from the airport to her grandparents house in the woods? Show your work.

Answer 1

We can use the Pythagorean theorem to solve this problem. Let's assume that Cari's house is at point A, the airport is at point B, and her grandparents' house is at point C. We know that the distance from A to B is 45 miles and the distance from A to C is 45 miles. We want to find the distance from B to C, which we can call x.

We can form a right triangle with sides AB, AC, and BC. The distance we want to find, x, is the length of the hypotenuse of this triangle (side BC).

Using the Pythagorean theorem, we know that:

AB^2 + AC^2 = BC^2

Substituting in the values we know:

45^2 + 45^2 = x^2

Simplifying:

2025 + 2025 = x^2

4050 = x^2

Taking the square root of both sides:

x = sqrt(4050)

x is approximately equal to 63.64 miles (rounded to two decimal places).

Therefore, the direct distance from the airport to Cari's grandparents' house is approximately 63.64 miles.