BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter C, Problem 42E
To determine

To find: The distance |AB| by the use of Law of Cosines.

Expert Solution

Answer to Problem 42E

The distance |AB| is 1355m.

Explanation of Solution

It is given that, C=103°,|AC|=820m and |BC|=910m.

As compare to the Law of Cosine formula, |AB|2=|AC|2+|BC|22|AC||BC|cosC.

Substitute the values C=103°,|AC|=820m and |BC|=910m in the formula |AB|2=|AC|2+|BC|22|AC||BC|cosC.

|AB|2=|AC|2+|BC|22|AC||BC|cosC=(820)2+(910)22(820)(910)cos(103°)1355m

Thus, the distance |AB| is 1355m.

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