Question

151You mFind the value of x in the triangle shown bel=56°4.544What’s the value of x

Answer 1

Given:

Use the sin rule to find the missing angles,

`\begin{gathered} (4)/(\sin A)=(4)/(\sin B)=(4.5)/(\sin C) \\ (4)/(\sin56^(\circ))=(4)/(\sin B)=(4.5)/(\sin x^(\circ)) \end{gathered}`

Now,

`\begin{gathered} (4)/(\sin56^(\circ))=(4.5)/(\sin x^(\circ)) \\ \sin x^(\circ)=(4.5\sin56^(\circ))/(4) \\ \Rightarrow x^(\circ)=\sin ^(-1)((4.5\sin56^(\circ))/(4)) \\ x^(\circ)=68.86^(\circ) \end{gathered}`