For each of the following find x andor y and the area of the

For each of the following find x and/or y and the area of the given figures.

Solution(a)

In triangle ABC

It is right triangle at C = 90

therefore

tan(30) = AC / CB

1/3 = AC/ 12

x = 12/3

Again

sin(30) = x/y

y = x/(1/2) = 24/3

y = 24/3

area of triangle =1/2 ( Base * Height)

= 1/2 ( AC ) * (BC )

= 1/2 (12/3 ) ( 12 )

= 72/3

Answer: 72/3 unit²