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Find the measure of C to the nearest degree.

Find the measure of C to the nearest degree.-example-1

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Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :


\bigstar \ \ \boxed{\sf{Sin\theta = (Opposite \ Side)/(Hypotenuse)}}


\implies \sf{Sin\theta = (7)/(11)}


\implies \sf{\theta = Sin^(-1)\bigg((7)/(11)\bigg)}


\implies \sf{\theta = 39.52^(\circ)}

Answer : The measure of ∠C to the nearest degree is 38°

User YonahW
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