Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
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)
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.