From the pilot’s viewpoint, the distance to the horizon is 188.815 miles.
What is Pythagoras' Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
Since a tangent always intersects the radius of the circle at 90°, therefore, the given triangle is a right-angled triangle. Therefore, the using the Pythagoras theorem we can write,
OB² = AB² + AO²
(3959+4.5)² = x² + 3959²
3963.5² - 3959² = x²
x = √(35,651.25)
x = 188.815 mi
Hence, From the pilot’s viewpoint, the distance to the horizon is 188.815 miles.
Learn more about Pythagoras Theorem:
https://brainly.com/question/12105522
#SPJ2
