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

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asked Oct 23, 2023 420 views

1 Answer

Eugene Pakhomov · Answer 1 · 2023-10-27T16:21:41+0000

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

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

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