Triangle ABC has side a, b, c, opposite angles A, B, C, respectively. Find the request parts of the triangle or indicate if no triangle is possible. If more than one triangle is possible, find all possible solutions. Calculate all solutions to the nearest tenth. Angles are in degrees. a=6inb=8inA=60 degrees.Find B

Question
Asked Nov 5, 2019

Triangle ABC has side a, b, c, opposite angles A, B, C, respectively. Find the request parts of the triangle or indicate if no triangle is possible. If more than one triangle is possible, find all possible solutions. Calculate all solutions to the nearest tenth. Angles are in degrees. 

a=6in

b=8in

A=60 degrees.

Find B

check_circleExpert Solution
Step 1

Given figure is

В
с
6
60
А
C
where
a 6
b 8
A = 60°
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Image Transcriptionclose

В с 6 60 А C where a 6 b 8 A = 60°

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Step 2

Now, calculating the angle B...

sin A
sin B
b
a
sin 60
sin B 8x
6
sin B 8x
2 x 6
25
sin B
3
sin B 1.154...
but range of sine function is
-1sin x
so,
sin B 1.154.
help_outline

Image Transcriptionclose

sin A sin B b a sin 60 sin B 8x 6 sin B 8x 2 x 6 25 sin B 3 sin B 1.154... but range of sine function is -1sin x so, sin B 1.154.

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