A small aircraft, a, is cruising at an altitude of 1.5 km. The radius of Earth is approximately 6400 km. How far is the plane from the horizon at B?

Answer :

Answer:

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Step-by-step explanation:

Disclaimer: The question was incomplete. The diagram is attached below.

The plane is 138.57 km from the horizon at B.

What is the Pythagorean theorem?

The Pythagorean theorem states that the sum of the squares of the sides of a right-angled triangle is equal to the square of the hypotenuse.

From the image, we can see that it creates a right angles triangle.

Therefore, we can use the Pythagorean theorem:

OA² = OB² + AB²

⇒ (6400+1.5)² = (6400)² + AB²

⇒ AB² = (6401.5)² -(6400)²

⇒ AB² = 40979202.2 - 40960000

⇒ AB² = 19,202.2

⇒ AB = 138.57 km

The plane is 138.57 km from horizon B.

Therefore, we have determined that the plane is 138.57 km from the horizon at B.

Learn more about the Pythagorean theorem here: https://brainly.com/question/343682

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