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Question Number 188444 by Rupesh123 last updated on 01/Mar/23

Answered by mr W last updated on 01/Mar/23

Commented by mr W last updated on 01/Mar/23

$$a=2\times 1\times \sin \frac{48}{2}=2\sin 24$$$$\frac{a}{1}=\frac{\sin (x+66+42)}{\sin (x+66)}$$$$\cos 42+\frac{\sin 42}{\tan (x+66)}=2\sin 24$$$$\tan (x+66)=\frac{\sin 42}{2\sin 24-\cos 42}$$$$\Rightarrow x={\tan }^{-1}\left(\frac{\sin 42}{2\sin 24-\cos 42}\right)-66=18°$$

Commented by Rupesh123 last updated on 01/Mar/23

Perfect ��

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