The distance from home plate to the fence in dead center at the Oak Lawn Little League field is 280 feet. How far is it from the fence in dead center to third base? [Hint: The distance between the bases in Little League is 60 feet.]

241.3 feet

Step-by-step explanation:

From the above question, we solve for this using the law of cosines

Law of cosines

a² = b² + c² -2bc Cos A

a =  √b² + c² -2bc Cos A

a = The distance between the bases in Little League =  60 feet

b = ???

c = The distance from home plate to the fence in dead center at the Oak Lawn Little League field =  280 feet

A = It makes an angle of 45°

This is because the distance 60 feet and 280 feet are perpendicular to each other and they meet at a point that divides a right angle 90° into equal parts.

a = √280² + 60² - 2 × 280 × 60  × Cos 45

a = 241.33216 feet

Approximately = 241.3 feet

How far is it from the fence in dead center to third base? 241.3 feet

sine

step-by-step explanation: