Question

Consider a triangle where A = 30°. a = 1.8 cm, and b = 1.8 cm. Use the Law of Sines to find sin(B). Round your answer to 2 decimal places.

Answer 1

Recall that the law of sines states that:

`(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)\text{.}`

Therefore, for the given triangle we get that:

`(1.8)/(\sin30^(\circ))=(1.8)/(\sin B).`

Solving the above equation for sinB we get:

`\begin{gathered} (\sin30^(\circ))/(1.8)=(\sin B)/(1.8), \\ \sin 30^(\circ)=\sin B, \\ \sin B=(1)/(2)=0.5. \end{gathered}`

Answer: sin B=0.50.