Question

I need help trying to find side c and to see if my other answers are correct?

Answer 1

we have that

B=5 degrees

C=125 degrees

b=200 units

step 1

Find out the measure of angle A

Remember that

the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180

substitute given values

A+5+125=180

A=180-130

A=50 degrees

step 2

Applying the law of sines

`(\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)`

Find out the value of a

`(\sin A)/(a)=(\sin B)/(b)`

substitute given values

`(\sin 50^o)/(a)=(\sin 5^o)/(200)`

solve for a

`a=(200\cdot\sin 50^o)/(\sin 5^o)`

a=1,757.9 units

step 3

Find out the value of c

`(\sin B)/(b)=(\sin C)/(c)`

substitute given values

`(\sin 5^o)/(200)=(\sin 125^o)/(c)`
`c=(200\cdot\sin 125^o)/(\sin 5^o)`

c=1,879.7 units