Answer:
[tex]x \approx 55.8[/tex]
Step-by-step explanation:
In order to solve this problem, one must use the trigonometric ratios. These ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)= \frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Remember, each side is named relative to the angle, thus sides will attain different names depending on the angle which one sues to calculate with.
In this case, one is given the measure of the angle, and the measure of the side opposite to the angle. One is asked to find the measure of the side adjacent to the angle. Use the trigonometric ratio ([tex]tan[/tex]) to solve for the unknown. Substitute in the given values,
[tex]tan(25)=\frac{26}{x}[/tex]
Manipulate the equation such that it is solved for the parameter(x),
[tex]x=\frac{26}{tan(25)}[/tex]
Solve,
[tex]x \approx 55.8[/tex]
