Question

Find aRound to the nearest tenth:a10 cm1500120=a = [? ]cmLaw of Sines: sin Asin B.=basin CсEnter

Answer 1

Given

To find the value of a.

Now,

It is given that,

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

From, the figure the value of B is 10cm.

Therefore,

$\begin{gathered} \frac{\sin150\degree}{a}=\frac{\sin12\degree}{10} \\ \frac{\frac{1}{2}}{a}=\frac{0.20791169}{10} \\ \frac{1}{2a}=\frac{0.20791169}{10} \\ \frac{1}{a}=\frac{0.20791169\times2}{10} \\ \frac{1}{a}=0.041582338 \\ a=24.04867181 \\ a=24.0(\text{Rounded to nearest 10th, since the digit next to 10th place<5.} \\ a=24.0cm \end{gathered}$

Hence the value of a is 24.0cm.