10 points. the options are

a)2

b)1

c)0.5

d)0.25

e)0.1

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!