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.
![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 class=](https://us-static.z-dn.net/files/dcd/ed0cb51c4f61ad4bc227a836c9989e1d.jpg)
Answer:
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
Step-by-step explanation:
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