Question

HELP PLSFind all the missing elements:

Answer 1

Answer:

a = 6.7 , c = 2.0

Step-by-step explanation:

For side a

To find the missing side a we use the sine rule

$\frac{ |b| }{ \sin(B) } = \frac{ |a| }{ \sin(A) }$

From the question

B = 58°

b = 6

A = 109°

Substituting the values into the above formula we have

$\frac{6}{ \sin(58) } = \frac{ |a| }{ \sin(109) }$

$|a| \sin(58) = 6\sin(109)$

Divide both sides by sin 58°

$|a| = \frac{6 \sin(108) }{ \sin(58) }$

a = 6.728791

a = 6.7 to the nearest tenth

For side c

To find side c we use the sine rule

That's

$\frac{ |b| }{ \sin(B) } = \frac{ |c| }{ \sin(C) }$

C = 13°

$\frac{6}{ \sin(58) } = \frac{ |c| }{ \sin(13) }$

$|c| \sin(58) = 6 \sin(13)$

Divide both sides by sin 58°

$|c| = \frac{6 \sin(13) }{ \sin(58) }$

c = 1.591544

c = 2.0 to the nearest tenth

Hope this helps you