Question

Fine angle B. Please help!

Answer 1

D. 13 degrees

Explanation:

Using the law of sines,
`(sinC)/(c)=(sinB)/(b)`

and substituting known values into this equation:

`(sin(75)^\circ)/(30)=(sinB)/(7)`

`7\cdot{sin(75)^\circ}={sinB}\cdot{30}`

divide both sides by 30

`\frac{7\cdot{sin(75)^\circ}}{30}=sinB`

`sin(13)/7=0.0321...` and
`sin(75)/30=0.0321...`