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Solve for the missing side lengths60°411А. Ои2/3, v = 2B.u√3, v = 4Cu = 2/3, v = 4D.O. 4, v = 3

Solve for the missing side lengths60°411А. Ои2/3, v = 2B.u√3, v = 4Cu = 2/3, v = 4D-example-1

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2 votes

In order to find u and v, we apply trigonometric ratios


\begin{gathered} \sin 60^0=\frac{\text{ opposite}}{\text{hypotenuse}}=(u)/(4) \\ \frac{\sqrt[]{3}}{2}=(u)/(4) \\ u=2\sqrt[]{3} \end{gathered}
\begin{gathered} \cos 60^0=(v)/(4) \\ v=4*(1)/(2)\text{ = 2} \end{gathered}

Therefore, u = 2√3, v = 2.

The right option is A.

User Guilherme Chiara
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