Question

Find the indicated angle 0. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 120 and c = 136. Round your answer to two decimal places.)

Answer 1

Base on the given data, the triangle is shown below.

Apply law of sine to this triangle implies,

`\sin \theta=(a)/(c)`

Given that, a=120 and c=136. Thefore, the given equation becomes,

`\begin{gathered} \sin \theta=(120)/(136) \\ \sin \theta=0.88 \end{gathered}`

Take the inverse to find the the measure of indicated angle.

`\begin{gathered} \theta=\sin ^(-1)0.88 \\ \theta=61.64 \end{gathered}`

Therefore, the angle is 61.64 degree.