2 ways to see this
The area of a triangle is (1/2) the product of sides and the sin of the angle between them
One side is 50 cos 36, the other side is 50 => area = (1/2)*50 cos 36 * sin 36
Other way one leg is 50 sin 36 the other is 50 cos 36, the area is is the same as given above.