2019 Nov P2 Q7

Question 7

The diagram below shows a solar panel, $ABCD$ , which is fixed to a flat piece of concrete slab $EFCD$ . $ABCD$ and $EFCD$ are two identical rhombuses. $K$ is a point on $DC$ such that $DK=KC$ and $AK\perp DC$ . $AF$ and $KF$ are drawn. $A\hat DC=C\hat DE=60^{\circ}$ and $AD=x$ units.

$7.1$	Determine $AK$ in terms of $x$ .	$(2)$
$7.2$	Write down the size of $K\hat CF$ .	$(1)$
$7.3$	It is further given that $A\hat KF$ , the angle between the solar panel and the concrete slab, is $y$ . Determine the area of $\Delta AKF$ in terms of $x$ and $y$ .	$(7)$
		$\textbf{[10]}$