Question

The diagonal of a rectangle makes an angle of 48degree with its smaller side. If the length of smaller side is 16cm, what is the length of greater side? (sin48 =0.743​

Answer 1

Answer:

From figure,

∠OBC=∠OCB=35

o

And, In △BOC

∠OBC+∠OCB+∠BOC=180

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=> 35

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+35

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+∠BOC=180

o

=> ∠BOC=180

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−70

0

=110

0

As,

=> ∠BOC+∠COD=180

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.......(linear angle)

=> ∠COD=180

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−110

o

=> ∠COD=70

o