Question-123018

Question Number 123018 by ajfour last updated on 21/Nov/20

Commented by ajfour last updated on 21/Nov/20

I f r e c t a n g l e s A B C D a n d P Q R S

a r e c o n g r u e n t, f i n d θ, i n t e r m s o f α .

Commented by mr W last updated on 22/Nov/20

A B = a

A F = b = a \tan α

b = A Q + Q D = a \tan θ + a \cos θ = a \tan α

\tan θ + \cos θ = \tan α

l e t λ = \tan α

1 + (1 + λ^{2}) \cos^{2} θ - 2 λ \cos^{3} θ + \cos^{4} θ = 0

\Rightarrow \cos θ = \dots

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