Question

Need serious help on this
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Simplify:
tan40.45=x/150+(x/tan50)
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ANSWER=449.94m

Answer 1

\[\tan40.45=\frac{ x }{ 150+\frac{ x }{ \tan50 } }\]

Answer 2

$$\begin{align*}
\tan (40.45^\circ)&=\frac{x}{150+\frac{x}{\tan(50^\circ)}}\\
150\tan(40.45^\circ)+\frac{\tan(40.45^\circ)}{\tan(50^\circ)}x&=x\\
150\tan(40.45^\circ)&=\left(1-\frac{\tan 40.45^\circ}{\tan 50^\circ}\right)x\\
x&=\frac{150\tan 40.45^\circ}{\left(1-\frac{\tan 40.45^\circ}{\tan 50^\circ}\right)}
\end{align*}$$

Answer 3

so, @koli123able
i got x = 1.00805