Question

10) Using the law of sines, determine whether the given information results in one triangle, two triangle or no triangle at all. Solve any triangle that results. a= 6B = 18Angle A =150 degree

Answer 1

step 1

Find out the measure of angle B

Applying the law of sines

`(a)/(sinA)=(b)/(sinB)`

substitute given values

`(6)/(s\imaginaryI n150)=(18)/(s\imaginaryI nB)`

Solve for B

`\begin{gathered} sinB=\frac{18*s\mathrm{i}n150^o}{6} \\ \\ sinB=1.5 \end{gathered}`

The greater value of the sine is 1

so

The triangle does not exist