10 points. The options are
A)2
B)1
C)0.5
D)0.25
E)0.1

Answer:
The correct answer is option C) 0.5
Step-by-step explanation:
Points to remember:
From the figure we can see that AB parallel to DE. And DE is half the length of AB.
To find the value of Sin E
It is given that, Sin A = 0.5
From the figure we get <A and < E are pair of alternate interior angles.
Therefore <A = <E
Taking Sine on both side we get,
Sin A = Sin E
we have Sin A = 0.5 then Sin E = 0.5
The correct answer is option C) 0.5
The answer is: C) 0.5
Both Sin(A) and Sin(E) are equal for the following reason:
Alternate angles are equal, it's known from the statement that AB and DE are parallel, meaning that if we draw a line that crosses both lines hypotenuses, the alternate angles created between the line and both sides (AB and DE) will be equal.
So,
∠A=∠E
∴ SinA=SinE
Have a nice day!