In the given figure , ABCD is a rectangle with AD=12 cm and DC=20 cm. Line segment DE is drawn making an angle of 30° with AD , intersecting AB at E .Find the length of DE and AE .
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solution :
1) In ΔDAE
Angle D=30°.........(given)
2) In ΔDAE
cot 30°= AD/AE
√3=12/AE
AE=12/√3
AE=12/√3 * √3/√3.........(rationalizing denominator)
AE=12√3/3
AE= 4√3
3)In ΔDAE
angle D= 30°.........(given)
sin 30°=AE/DE
1/2=4√2/DE
DE=2√3
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