The distance from peak to horizon 176 miles.
What is the Pythagorean theorem?
- The square of the hypotenuse length of a right triangle equals the sum of the squares of the lengths of the other two sides, according to a geometric theorem.
- The Pythagorean Theorem demonstrates how the side lengths of a right triangle can be calculated from the sum of the areas of three intersecting squares.
First convert ft in miles.
1 mile = 5,280 ft
H = 20,320/5,280 = 3.85 miles
R = 4,000 miles
Now we use Pythagorean theorem,
D ² + R² = ( S + H)²
D² + 4000 = ( 4000 + 3.85 )²
D² + 16000000 = 16030814.82
D² = 16030814.82 - 16000000
D² = 30814.82
D = [tex]\sqrt{30814.82}[/tex]
D = 175.5 ⇒ 176 miles
Therefore, The distance from peak to horizon 176 miles.
Learn more about Pythagorean theorem brainly.com/question/22568405 here
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