41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the intersection at the same time, the first traveling down one road at 40 mi/h and the second trav eling down the other road at 60 mi/h. How fast is the dis- tance between the cars changing after half an hour? [Hint:

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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41. Two straight roads diverge from an intersection at an angle
of 60°. Two cars leave the intersection at the same time, the
first traveling down one road at 40 mi/h and the second trav-
eling down the other road at 60 mi/h. How fast is the dis-
tance between the cars changing after half an hour? [Hint:
Use the Law of Cosines (Formula 21 in Appendix D).]
Transcribed Image Text:41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the intersection at the same time, the first traveling down one road at 40 mi/h and the second trav- eling down the other road at 60 mi/h. How fast is the dis- tance between the cars changing after half an hour? [Hint: Use the Law of Cosines (Formula 21 in Appendix D).]
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