For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft. 3rd 2nd Home 90 ft 1st 42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At what rate does the distance between the ball and the batter change when 2 sec have passed?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 39E
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For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft.
3rd
2nd
Home
90 ft
1st
42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At
what rate does the distance between the ball and the batter change when 2 sec have passed?
43. [T] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30 ft/sec. At
what rate does the distance between the ball and the batter change when the runner has covered one-third of
the distance to first base? (Hint: Recall the law of cosines.)
Transcribed Image Text:For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft. 3rd 2nd Home 90 ft 1st 42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At what rate does the distance between the ball and the batter change when 2 sec have passed? 43. [T] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30 ft/sec. At what rate does the distance between the ball and the batter change when the runner has covered one-third of the distance to first base? (Hint: Recall the law of cosines.)
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