Question

In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on first base tries to steal second base. How far does the ball need to travel from home plate to second base to get the player out? round your answer to the nearest tenth.

Answer 1

AC = 127,26 f distance from home plate to second base

Explanation:

Let call A , B , C Home plate, first base and second base respectively

These three point form a right triangle with legs ( AB = BC = 90 feet)

we have an isosceles triangle with a right angle and two angles of 45⁰

So we need to compute distance AC (hypotenuse)

AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2

AC = 90 * 1,414

AC = 127,26 f