# Question 8

## You MAY use a calculator to solve this problem.

A baseball diamond is a square with each side 90 feet in length. A player runs from second base to third base at a rate of 18 ft/sec.

(a) At what rate is the player's distance from first base, **A**, changing when his distance from third base, **D**, is 22.5 feet?

(b) At what rate is angle **α** increasing when **D** is 22.5 feet?

(c) At what rate is the area of the trapezoidal region, formed by segments **A**, **B**, **C** and **D** changing when **D** is 22.5 feet?

**Solution**

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