Question

With method please

Answer 1

Answer:

57.8º

Step-by-step explanation:

According to the law of sines $\frac{sinA}{a}$ = $\frac{sinb}{b}$ = $\frac{sinc}{c}$.

In this triangle we have two sides with two of their angles.

Let's make 8 cm side a with 38º as its angle, and 11 cm side b with x as its angle.

$\frac{sinx}{11}$ = $\frac{sin38}{8}$

Now we multiply both sides by 11 to get rid of the denominator on the left.

sinx = $\frac{11sin38}{8}$

To find x, we use inverse sine.

x = sin⁻¹ (11sin38/8)

Plug this into a calculator, and you will get 57.837.

Round this to 57.8º

Hope this helps!