Answer:
The length of AC is 12
Step-by-step explanation:
we need to find measure of AC
Since, diagonal of rhombus bisect each others at 90°
AC = 2AE
In ΔAEB
Since, [tex]cot\theta=\frac{base}{perpendicular}[/tex]
[tex]cot53=\frac{AE}{EB}[/tex]
Since AE =EB = 8
[tex]cot53=\frac{AE}{8}[/tex]
Multiply both the sides by 8,
AE = 8 cot 53°
AE = 8 * 0.75
AE = 6
so,
AC=2 x AE
AC=2 x 6
AC= 12
Hence, The length of AC is 12
