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Hi, can you help me to solve this exercise, please!

Hi, can you help me to solve this exercise, please!-example-1

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Given the figure, we can deduce the following information:

1. The measure of angle T is 45°.

2. The leg TS is:


32\sqrt[]{3}

To determine SU, we use the formula:


\sin (\theta)=\frac{opposite}{\text{hypotenuse}}

The opposite and hypotenuse sides are shown in the figure below:

We plug in what we know:


\begin{gathered} \sin (\theta)=\frac{opposite}{\text{hypotenuse}} \\ \sin (45)=\frac{SU}{32\sqrt[]{3}} \\ \text{Simplify and rearrange} \\ SU=\sin (45)(32\sqrt[]{3}) \\ SU=16\sqrt[]{6} \end{gathered}

Therefore, the answer is:


\begin{gathered} SU=16\sqrt[]{6} \\ \end{gathered}

Hi, can you help me to solve this exercise, please!-example-1
User Cedricbahirwe
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