Question

In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.​

Answer 1

sin (55) = DE / AD

AD = DE / sin (55)

AD = 8 / sin (55)

And

tan (55) = DC / AD

tan (55) = DC / [8 / sin (55) ]

DC = 8 tan (55) / sin (55)

AD * DC =

[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2

Explanation:

f