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20 12 District Grade 3 Mathematics Module 2
(1)∫Rt△ABE, where cosB=BEAB,

∴BE=ABcosB=5×35=3.

∴AE=AB2? BE2=52? 32=4,

∵□ABCD? Medium, AD ∨ BC,

∴∠DAE=∠AEB=90, AD = BC =8 years,

∴DE=AE2+AD2=42+82=45.

(2)∵CD=AB=5,CE=BC-BE=8-3=5,

∴CD=CE,

∴∠CDE=∠CED=∠ADE.

∴tan∠cde=tan∠ade=aead=48= 12.