Answer:
[tex]tan(\theta) = \frac{3}{4}[/tex]
Step-by-step explanation:
Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.
[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]
In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.
[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]
