Question

Hello sir need help for the Question A I got H=42.3 but when I add 65 + 42.3 it gives me 107.3 and when i add all of them it didnt give me 180

Answer 1

The law of sines is given by the following formula:

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

In the question a), we have:

`\begin{gathered} (\sin65°)/(31)=(\sin H)/(23)\\ \\ (0.90631)/(31)=(\sin H)/(23)\\ \\ \sin H=(23\cdot0.90631)/(31)=0.672423\\ \\ H=42.25° \end{gathered}`

Rounding to the nearest tenth, we have H = 42.3°.

Now, in question b), we have:

`\begin{gathered} (\sin49°)/(23)=(\sin H)/(21)\\ \\ (0.75471)/(23)=(\sin H)/(21)\\ \\ \sin H=(0.75471\cdot21)/(23)=0.689083\\ \\ H=43.56° \end{gathered}`

Rounding to the nearest tenth, we have H = 43.6°.