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Question Number 201808 by ahmetgg last updated on 12/Dec/23

Commented by ahmetgg last updated on 12/Dec/23

Syhthetic solution please.

Answered by mr W last updated on 12/Dec/23

Commented by mr W last updated on 12/Dec/23

$$b=\frac{a}{\tan 17°}$$$$c=b\tan 47°=\frac{a\tan 47°}{\tan 17°}$$$$d=\frac{a}{\tan 51°}$$$$\tan \alpha =\frac{c}{d}=\frac{a\tan 47°}{\tan 17°\times \frac{a}{\tan 51°}}=\frac{\tan 47°\tan 51°}{\tan 17°}$$$$\Rightarrow \alpha ={\tan }^{-1}\left(\frac{\tan 47°\tan 51°}{\tan 17°}\right)=77°$$

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