Question

Trigonometry in baseball Identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2ft above the ground will necessitate an angle of elevation less than to just clear the center field fence.

Answer 1

Given:

A height of 2ft above the ground

Required:

The distance from the home plate to the centerfield

Explanation:

A height of 2ft above the ground and angle of elevation of 86 degree.

Assuming that the form of our problem is a right angle triangle, we can solve for the remaining angle:

180-(90+86)=4 degrees

The distance from the home plate to the centerfield is

$\frac{2}{sin4}=\frac{x}{sin86}$

Final answer:

x=26.6ft