Question

I got the 90 and 8.9 for them but it’s wrong. I really confused now. What is the right answer??? Can someone explain to me ASAP?!!!!

Answer 1

`A = 70.6` ≈ 71°

`x = 36.5`

Explanation:

Step 1: Use the Law of sine to find A

`(sin(A))/(38) = (sin(44))/(28)`

Cross multiply:

`sin(A)*28 = sin(44)*38`

`sin(A)*28 = 0.695*38`

Divide both sides by 28:

`(sin(A)*28)/(28) = (0.695*38)/(28)`

`sin(A) = 0.9432`

`A = sin^(-1)(0.9432)`

`A = 70.6`

A ≈ 71°

Step 2: find the measure of the angle opposite side x

Angle opposite side x = 180 - (71+44) (sum of triangle)

= 180 - 115 = 65°

Step 3: find x using the law of sines

`(x)/(sin(65)) = (28)/(sin(44))`

`(x)/(0.906) = (28)/(0.695)`

Multiply both sides by 0.906

`x*0.695= 28*0.906`

Divide both sides by 0.695

`(x*0.695)/(0.695) = (28*0.906)/(0.695)`

`x = (28*0.906)/(0.695)`

`x = 36.5`