Answered

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In a triangle ABC what is measure of B if a=20 b=15 c=19

Sagot :

Step-by-step explanation:

The answer is:

∠

B

=

sin

−

1

(

20

⋅

sin

(

30

∘

)

15

)

You have to use the law of sines, just as you thought. This law is:

a

sin

∠

A

=

b

sin

∠

B

=

c

sin

∠

C

We only need the first equation here, let's fill in the numbers.

15

sin

(

30

∘

)

=

20

sin

∠

B

We use cross-multiplication, then we find:

sin

∠

B

=

20

⋅

sin

(

30

∘

)

15

then by taking the inverse sine, we find

∠

B

=

sin

−

1

(

20

⋅

sin

(

30

∘

)

15

)

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