412 views
5 votes
Use the Law of Sines to find the indicated side x. (Assume a = 310. Round your answer to two decimal places.)

Use the Law of Sines to find the indicated side x. (Assume a = 310. Round your answer-example-1
User Ohadgk
by
5.4k points

1 Answer

1 vote

We have the following:

The first thing is to calculate the values of all the angles of the triangle, since the sum of the angles in a triangle is 180, therefore:


\begin{gathered} 180=now, with the law of sines:[tex]\frac{x}{\sinreplacing:[tex]\begin{gathered} (x)/(\sin 57)=(310)/(\sin 98.4) \\ x=(310\cdot\sin 57)/(\sin 98.4) \\ x=(310\cdot0.839)/(0.989) \\ x=262.81 \end{gathered}

The answer is 262.81 units

User Eugene Pakhomov
by
5.5k points