Question
Asked Nov 12, 2019
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use the Law of Cosines to find the remaining side(s) and angle(s) if possible. a=300, b=302, c=48

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Expert Answer

Step 1

use the Law of Cosines to find the remaining side(s) and angle(s) if possible. a=300, b=302, c=48

Step 2

Use cosine formula to find angle A

a 300,b 302,c
48
a bc2bc cos A
(300)= (302) +(48)-2(302)( 48) cos A
90000 91204 2304-28992 cos A
90000 93508-28992 cos A
90000-93508= 93508-28992 cos A-93508
--3508-28992 cos A
-3508
cos A =
-28992
-3508
A cos
-28992
A =830
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a 300,b 302,c 48 a bc2bc cos A (300)= (302) +(48)-2(302)( 48) cos A 90000 91204 2304-28992 cos A 90000 93508-28992 cos A 90000-93508= 93508-28992 cos A-93508 --3508-28992 cos A -3508 cos A = -28992 -3508 A cos -28992 A =830

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Step 3

Use cosine formula to...

a 300,b 302,c 48
b2 a c-2ac cos A
(302)(300)+(48)-2(300)(48) cos B
91204 90000+ 2304-28800 cos B
91204 92304-28800 cos B
91204-92304 92304-28800 cos B -92304
-1100-28800cos B
-1100
cos B =
-28800
-1100
B = cos
-28800
B 87.80
help_outline

Image Transcriptionclose

a 300,b 302,c 48 b2 a c-2ac cos A (302)(300)+(48)-2(300)(48) cos B 91204 90000+ 2304-28800 cos B 91204 92304-28800 cos B 91204-92304 92304-28800 cos B -92304 -1100-28800cos B -1100 cos B = -28800 -1100 B = cos -28800 B 87.80

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