Answer:
AB = 6.97 (nearest hundredth)
Step-by-step explanation:
Sine Trigonometric Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
- [tex]\theta[/tex] is the angle
- O is the side opposite the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- [tex]\theta[/tex] = 35°
- O = AC = 4 units
- H = AB
Substitute the given values and solve for AB:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]
[tex]\implies \sf AB=6.973787182...[/tex]
Therefore, AB = 6.97 (nearest hundredth)
