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,

`(\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)`

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

Therefore,

`\begin{gathered} (\sin150\degree)/(a)=(\sin12\degree)/(10) \\ ((1)/(2))/(a)=(0.20791169)/(10) \\ (1)/(2a)=(0.20791169)/(10) \\ (1)/(a)=(0.20791169*2)/(10) \\ (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.