Answer:
[tex] AB = 5.52 [/tex]
Step-by-step explanation:
Reference angle = 65°
Opposite side = 5
Hypotenuse = AB = ?
To find AB, the trigonometric ratio we would use will be:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(65) = \frac{5}{AB} [/tex]
Cross multiply
[tex] sin(65)*AB = 5 [/tex]
Divide both sides by sin(65)
[tex] AB = \frac{5}{sin(65)} [/tex]
[tex] AB = 5.52 [/tex] (nearest hundredth)
