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In triangle XYZ, angle Z = 90 degrees, $\cos{Y}=\frac{7}{29}$, and XY = 25. What is tan X?

 Oct 23, 2021
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What is tan X?

 

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\(cos\ Y=\dfrac{\overline{YZ} }{25}=\dfrac{7}{29}\\ \overline{YZ}=\dfrac{7\cdot 25}{29}=6.0345\\ \overline{XZ}=\sqrt{25^2-\overline{YZ}^2}=24.26077\\ tan\ X=\dfrac{\overline{YZ}}{\overline{XZ}}=\dfrac{\dfrac{7\cdot 25}{29}}{\sqrt{25^2-\dfrac{7\cdot 25}{29}}}\)

\(tan\ X=0.242553069477\)

laugh  !

 Oct 23, 2021

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