### Home > CALC > Chapter 10 > Lesson 10.1.4 > Problem 10-30

After Barry hit a home run, Sammy leaves 1^{st} base for 2^{nd} traveling at ^{nd} base for 3^{rd} traveling at

Sammy's distance is the horizontal leg of a right triangle. It is decreasing with time.

Write an expression for Sammy's distance (from second base).

Mark's distance is the vertical leg of a right triangle. It is increasing with time.

Write an expression for Mark's distance (from third base).

Use the Pythagorean Theorem to write an equation for the distance between Sammy and Mark.

Differentiate your equation and set it equal to

Be sure to answer the question being asked.