Question

The distance between each base on a baseball field is 90 feet. what is the approximate distance from second base to home plate

90 ft

127.3 ft

140.2

180 ft

Answer 1

The answer is 127.3 feet

Answer 2

Option B. 127.3 ft.

Explanation:

In the diagram attached, we can see the locations of 1st base, 2nd base, 3rd base and Home plate.

Since these four points form a square of which diagonals are equal in size.

So if we find the distance between 1st and 3rd base that will be equal to the distance between Home plate to the second base.

By applying "Pythagoras Theorem"

Distance between 2nd base and Home plate =

`\sqrt{(90)^(2) }+(90)^(2)=90√(2)`

= 90 × 1.414 = 127.3 ft.

The distance from second base to home plate is 127.3 ft.