An airplane is 34 ground miles from the end of the runway and 6 miles high when it begins its approach to the airport. To the nearest mile,what is the distance from the airplane to the end of the runway?

want to know the answer

35

Yes

To find the distance from the airplane to the end of the runway, we can use the Pythagorean theorem. The theorem states that for a right triangle, the square of the length 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 distance from the airplane to the end of the runway is the hypotenuse, and the distance the airplane is above the ground is one side of the right triangle, while the distance along the ground is the other side. Let's call the distance along the ground x and the distance from the airplane to the end of the runway y.

According to the problem, x = 34 miles and y = 6 miles. We need to find the value of y.

Using the Pythagorean theorem, we have:

x^2 + y^2 = hypotenuse^2

Substituting the given values, we get:

(34^2) + (6^2) = y^2

Evaluating the equation:

1156 + 36 = y^2

1192 = y^2

To find the value of y, we take the square root of both sides:

y = √1192

Calculating this using a calculator or approximating to the nearest whole number, we get:

y ≈ 34.52

Rounding this to the nearest mile, we get:

y ≈ 35 miles

Therefore, the distance from the airplane to the end of the runway is approximately 35 miles.

Use the Pythagorean Theorem.