Question

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

Answer 1

Given a side and an angle of a right triangle, to find the other side (TU), follow the steps.

Step 1: Use the function of tangent.

`\tan (x)=\frac{\text{opposite}}{\text{adjacent}}`

Step 2: Find the opposite and adjacent sides to 34°.

The opposite side is TU;

The adjacent side is ST = 6.

Step 3: Substitute the values in the equation.

`\tan (34)=(TU)/(6)`

Step 4: Multiply both sides by 6 to isolate TU.

`\begin{gathered} 6\cdot\tan (34)+(6)/(6)TU \\ TU=6\cdot\tan (34) \end{gathered}`

Step 5: Find tan(34) and multiply by 6.

`\begin{gathered} TU=6\cdot0.674 \\ TU=4 \end{gathered}`

Answer: TU = 4.