**Ans : E**

Sol :

From the figure, since EC is perpendicular to the x-axis, C is a point vertically below point B. Hence, both have the same x-coordinate.

The line AC is horizontal and therefore its length equals the x-coordinate difference of A and C, which equals 6 – 0 = 6.

The line DC is horizontal and therefore its length equals the x-coordinate difference of D and C, which is 6 – 2 = 4.

The length of the vertical line BC equals the y-coordinate difference of B and C, which is 3 – 0 = 3.

The length of the vertical line EC equals the y-coordinate difference of E and C.

Now, in ?ABC, ÐA = a°, ÐB = 90° – a°, and ÐC = 90°. The sides opposite angles A and B are in the ratio

BC/AC = 3/6 = 1/2.

Similarly, in ?DEC, ÐE = a°, ÐD = 90° – a°, and ÐC = 90° (So, ABC and DEC are similar triangles and their corresponding sides are proportional). Hence, the sides opposite angles E and D are in the ratio

DC/EC = 1/2.

Hence, we have

DC/EC = 1/2

EC = 2DC

EC = 2.4 = 8

Hence, the y-coordinate of point E is 8, and the answer is (E).