Question

AB = ?
does anyone know?

Answer 1

AB = 6.97 (nearest hundredth)

Explanation:

Sine Trigonometric Ratio

`\sf \sin(\theta)=(O)/(H)`

where:

• 
  `\theta` is the angle
• O is the side opposite the angle
• H is the hypotenuse (the side opposite the right angle)

Given:

• 
  `\theta` = 35°
• O = AC = 4 units
• H = AB

Substitute the given values and solve for AB:

`\implies \sf \sin(\theta)=(O)/(H)`

`\implies \sf \sin(35^(\circ))=(4)/(AB)`

`\implies \sf AB=(4)/(\sin(35^(\circ)))`

`\implies \sf AB=6.973787182...`

Therefore, AB = 6.97 (nearest hundredth)