The diagram shows a prism $$\(A B C D E F G H\)$$ with a horizontal base. Diagram NOT accurately drawn The base of the prism, $$\(E F G H\)$$, is a square of side $$\(12 \mathrm{~cm}\)$$. Trapezium $$\(A D E F\)$$ is a cross section of the prism where $$\(A F\)$$ and $$\(D E\)$$ are vertical edges. $$\(D E=C H=10 \mathrm{~cm}\)$$ $$\(A D=B C=15 \mathrm{~cm}\)$$ (a) Work out the size of the angle between $$\(C F\)$$ and the base $$\(E F G H\)$$. Give your answer correct to one decimal place. (3) (b) Work out the length of $$\(B E\)$$. Give your answer correct to one decimal place. $$\(\mathrm{cm}\)$$ (3)

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