+0

# finding angle b in question 1?

-1
36
1

so here's the above question (i'm looking at #1), and the answer key:

the only thing i don't understand is how they got their final answer for B. I did 18 x sin 110 / 8, and did inverse sin and didn't get 53.7 but "DOMAIN error"

Guest Dec 6, 2017
Sort:

#1
+18777
+2

finding angle b in question 1?

$$\begin{array}{|rcll|} \hline \sin(B) &=& \frac{3.6}{4.2} \times \sin(110^{\circ}) \\ \sin(B) &=& 0.85714285714 \times 0.93969262079 \\ \sin(B) &=& 0.80545081782 \\\\ B &=& \arcsin(0.80545081782) \\ B &=& 53.6538157268^{\circ} \\\\ \mathbf{B} &\mathbf{=}& \mathbf{53.7^{\circ}} \\\\ A &=& 180^{\circ}- 110^{\circ} - 53.7^{\circ} \\ \mathbf{A} &\mathbf{=}& \mathbf{16.3^{\circ}} \\\\ \hline \end{array}$$

heureka  Dec 6, 2017

### 14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details