Question

Use Law of sines to solve for this problem. Round your answer to the nearest TENTH.

Answer 1

We will have the following:

AB:

`\begin{gathered} (15)/(sin(70))=(AB)/(sin(45))\Rightarrow AB=(15sin(45))/(sin(70)) \\ \\ \Rightarrow AB=11.28730979...\Rightarrow AB\approx11.3 \end{gathered}`

So, the measure of segment AB is approximately 11.3 units.

BC:

`\begin{gathered} (BC)/(sin(65))=(15)/(sin(70))\Rightarrow BC=(15sin(65))/(sin(70)) \\ \\ \Rightarrow BC=14.46708903...\Rightarrow BC\approx14.5 \end{gathered}`

So, the measure of segment BC is approximately 14.5 units.