Given the measure of an acute angle in a right triangle, we can tell the ratios of the lengths of the triangle's sides relative to that acute angle. Here are the approximate ratios for angle measures $$55^{\circ}, 65^{\circ}$$ and $$75^{\circ}$$. ![](http://admin.getprephub.com/media/editor/ra2_20230123090501586992.png) Use the table to approximate $$M O$$ in the triangle below. ![](http://admin.getprephub.com/media/editor/ra2s_20230123090519868817.png)

Given that, $$<O N M=90^{\circ},<N O M=75^{\circ}$$ Therefore, $$\frac{O N}{O M}=0.26$$ [From the table] Or, $${OM}=\frac{O N}{0.26}=\frac{2}{0.26}=7.69 \approx 7.7$$ unit

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Given the measure of an acute angle in a right triangle, we can tell the ratios of the lengths of the triangle’s sides relative to that acute angle.

Here are the approximate ratios for angle measures $55^{\circ}, 65^{\circ}$ and $75^{\circ}$ .

Use the table to approximate $M O$ in the triangle below.

$7.7$

$7.4$

$2.1$

$4.8$

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