Question

trigonomet...aze, put a circle around the angle, label the two given si ng desmos. draw in an arrow over the correct answer right triangle with right angle, one leg 39, angle 59°, side x, and numbers 23.4, 16.8, 29.3, 25.1, 16.2 around

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle with an angle of \(59^\circ\), the adjacent side to the angle is \(x\), and the opposite side is \(39\). We use the tangent function, which is \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\).
So, \(\tan(59^\circ)=\frac{39}{x}\)

Step2: Solve for \(x\)

Rearrange the formula to solve for \(x\): \(x = \frac{39}{\tan(59^\circ)}\)
We know that \(\tan(59^\circ)\approx1.6643\)
Then \(x=\frac{39}{1.6643}\approx23.4\)

Answer:

\(23.4\)