Answer:
[tex]\sf x=\boxed{18.21}[/tex]
Step-by-step explanation:
Assuming this is a right triangle.
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
- [tex]\theta[/tex] is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse
Given:
- [tex]\theta[/tex] = 35°
- O = x
- A = 26
[tex]\implies \sf \tan(35^{\circ})=\dfrac{x}{26}[/tex]
[tex]\implies \sf x=26\tan(35^{\circ})[/tex]
[tex]\implies \sf x=18.20539599...[/tex]
Therefore, x = 18.21 (nearest hundredth)
