Question

In triangle ABC, a=14m b=12m, and B=49 find all possible values of A

Answer 1

A = 62 degrees

Step-by-step explanation

Given:

A triangle with side a = 14 m, b = 12m and angle B = 49 degrees.

Result:

Angle A

Using sine rule

`\begin{gathered} (sinA)/(a)=(sinB)/(b) \\ \end{gathered}`
`\begin{gathered} sinA=(asinB)/(b) \\ sinA=(14sin49)/(12) \\ sinA=(14*0.7548)/(12) \\ sinA=0.8805 \\ A=\sin^(-1)0.8805 \\ A=61.7^0 \end{gathered}`

Hence,