Posted by Eun on Sunday, October 9, 2011 at 11:06pm.
1. A baseball diamond is a square with a distance of 90 feet between the bases. A runner is running from first base to second at the constant rate of 20 feet per second. How fast is the distance between the runner and the catcher changing when the runner is halfway from first to second?
2. Water is dripping slowly onto a metal countertop, creating a circular wet spot whose area is increasing at the constant rate of ÆÄÀÌ/2 square inches per second. How fast is its radius increasin g when the radius is 4 inches?
3. An observer stands 25 feet from the base of a 50 foot flagpole and watches a flag being lowered at a rate of 5ft/sec. Determine the rate at which the angle of elevation from the observer to the flag is changing at the instant that the flag is 25 feet.

math  Steve, Monday, October 10, 2011 at 11:51am
Let the distance from home to the runner be d.
Let the distance from first base to the runner be x
d^2 = 90^2 + x^2
2d dd = 2x dx
when x = 45, d = 45 sqrt(5) = 100.62
201.24 dd = 90 (20)
dd = 1800/201.24 = 8.94 ft/s

can't read 2nd problem  font garbling

h/25 = tan(theta)
dh/25 = sec^2(theta) * dtheta
5/25 = 2 * dtheta
.1 = dtheta

math  Anonymous, Tuesday, October 18, 2011 at 1:12am
For 2, I got 0.625 in/sec. dA/dt is pi/2.
Answer This Question
Related Questions
 math  a baseball diamond is actually a square. the distance between bases is 90...
 Math  the distance between any two bases on a baseball diamond is 90 feet.What ...
 Math  The four bases of a baseball diamond form a square 90 feet on a side. The...
 Calculus  A Baseball Diamond has the shape of a square with sides 90 feet long...
 Calculus  A baseball player hits a baseball from home base towards second base ...
 Calculus  A baseball diamond is a square with side 90 feet. A batter hits the ...
 Calculus  A baseball diamond is a square with side 90 feet. A batter hits the ...
 4 CALCULUS study problem  1. How fast does the radius of a spherical soap ...
 MATH Precalculus  A baseball diamond is a square with sides of length 90ft. ...
 MAths algebra  Consecutive bases of a square shaped baseball diamond are 90 ...
More Related Questions