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

Answer:

$A = 70.6$ ≈ 71°

$x = 36.5$

Step-by-step explanation:

Step 1: Use the Law of sine to find A

$\frac{sin(A)}{38} = \frac{sin(44)}{28}$

Cross multiply:

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

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

Divide both sides by 28:

$\frac{sin(A)*28}{28} = \frac{0.695*38}{28}$

$sin(A) = 0.9432$

$A = sin^{-1}(0.9432)$

$A = 70.6$

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

$\frac{x}{sin(65)} = \frac{28}{sin(44)}$

$\frac{x}{0.906} = \frac{28}{0.695}$

Multiply both sides by 0.906

$x*0.695= 28*0.906$

Divide both sides by 0.695

$\frac{x*0.695}{0.695} = \frac{28*0.906}{0.695}$

$x = \frac{28*0.906}{0.695}$

$x = 36.5$