Answer:
The correct option is 1.
Step-by-step explanation:
Given information: AD = 25, CD = 5, DB = 1 and CD⊥AB.
According to the Pythagoras theorem,
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
In triangle BCD,
[tex]CB^2=DB^2+CD^2[/tex]
[tex]CB^2=1^2+5^2[/tex]
[tex]CB^2=26[/tex]
Taking square root both sides.
[tex]CB=\sqrt{26}[/tex]
In a right angled triangle,
[tex]\sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]\sin B=\frac{CD}{CB}[/tex]
[tex]\sin B=\frac{5}{\sqrt{26}}[/tex]
[tex]\sin B=0.980580675691[/tex]
[tex]\sin B\approx 0.9806[/tex]
Therefore the correct option is 1.
