Explanation Given information : Ship A proceeds due east at 9km/hr and ship B sails at 7 km/ht along a course that forms an angle of 60 degree with the course of ship A as shown in the below figure : Formula used : Here to find the distance PB and PA at time t, it is used the following formula: distance=speed × time ......(i) And to get the distance AB, it is used the cosine formula, to be applied in a triangle ABC : cos A = b 2 + c 2 − a 2 2 b c Where “ a ” be the side opposite to angle A . Now in given triangle, it is implemented as: cos P = P A 2 + P B 2 − A B 2 2 ( P A ) ( P B ) ......(ii) Calculation : Using (i), P A = 9 t , P B = 7 t , A B = s ( t ) Thus, using (ii), cos 60 = ( 9 t ) 2 + ( 7 t ) 2 − A B 2 2 ( 9 t ) ( 7 t )

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1, Problem 80SP

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To set up a formula for the distance s(t) separating the two ships t hours after noon. And, also to find their in between distance exactly at 4:00 P.M.

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Chapter 1, Problem 79SP

Chapter 1, Problem 81SP

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Chapter 1 Solutions

Calculus

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To set up a formula for the distance s ( t ) separating the two ships t hours after noon. And, also to find their in between distance exactly at 4:00 P.M.

Solution Summary: The author explains how to set up a formula for the distance s(t) separating the two ships t hours after noon and their in between distance exactly at 4:00 P.M.

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To set up a formula for the distance s(t) separating the two ships t hours after noon. And, also to find their in between distance exactly at 4:00 P.M.

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Chapter 1 Solutions