In triangle XYZ, angle Z = 90 degrees, $\cos{Y}=\frac{7}{29}$, and XY = 25. What is tan X?
+15127 What is tan X?
Hello Guest!
\(cos\ Y=\dfrac{\overline{YZ} }{25}=\dfrac{7}{29}\\ \overline{YZ}=\dfrac{7\cdot 25}{29}=6.0345\\ \overline{XZ}=\sqrt{25^2-\overline{YZ}^2}=24.26077\\ tan\ X=\dfrac{\overline{YZ}}{\overline{XZ}}=\dfrac{\dfrac{7\cdot 25}{29}}{\sqrt{25^2-\dfrac{7\cdot 25}{29}}}\)
\(tan\ X=0.242553069477\)
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