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?A baseball diamond is a square with side \(90 \ ft\). A batter hits the ball and runs
Chapter 3, Problem 20(choose chapter or problem)
A baseball diamond is a square with side \(90 \ ft\). A batter hits the ball and runs toward first base with a speed of \(24 \ ft/s\).
(a) At what rate is his distance from second base decreasing when he is halfway to first base?
(b) At what rate is his distance from third base increasing at the same moment?
Equation Transcription:
Text Transcription:
90 ft
24 ft/s
Questions & Answers
QUESTION:
A baseball diamond is a square with side \(90 \ ft\). A batter hits the ball and runs toward first base with a speed of \(24 \ ft/s\).
(a) At what rate is his distance from second base decreasing when he is halfway to first base?
(b) At what rate is his distance from third base increasing at the same moment?
Equation Transcription:
Text Transcription:
90 ft
24 ft/s
ANSWER:
Step 1 of 2
The value of the side of the baseball is 90 ft.
Use Pythagoras theorem,
As it is halfway the value of X is 45 ft.
Therefore,
Thus the distance is decreasing at the rate of
