A diagonal of a rectangle is 8cm and forms an angel measuring 30 with one side.Find the area of the rectangle.

16 * √3 cm² or approximately 27.71 cm²

Step-by-step explanation:

Given the 8 cm length of the diagonal and the 30° (π/6 radians) angle with one of the sides, we can calculate the width and height of the rectangle using:

8 * cos(π/6) = 8 * ((√3)/2) = 4 * √3

8 * sin(π/6) = 8 * (1/2) = 4

Multiply those two values together to get the area and you get

16 * √3 cm²

.008 x 1000 = the 8 in the ones place

Step-by-step explanation:

8 in thousandths place = .008

.008 x 1000 = 8