Answered: b 40° A B

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume b = 10 and c = 20. Round your answer to one decimal place.)

Expert Solution

Step 1

we have been given a triangle ABC with sides AC equals to b and AB equals to c and BC equals to x.

b=10 and c=20

angle BAC= $40 °$ .

we have to find the value of x.

as we know that according to the law of cosines:

$\cos (∠ B A C) = \frac{A C^{2} + A B^{2} - B C^{2}}{2 (A C) (A B)}$

now substitute the values of the angle BAC, AC,AB,BC.

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