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/ra4_20230123091136243594.png) ![](http://admin.getprephub.com/media/editor/ra4s_20230123091150940355.png) Use the table to approximate $$m<D$$ in the triangle below. ![](http://admin.getprephub.com/media/editor/ra4s1_20230123091232955616.png)

Answer Given that, $$\angle E F D=90^{\circ}$$ Therefore, $$\frac{E F}{E D}=\frac{6.1}{6.7}=0.91=\frac{\text { opposite leg length }}{\text { hypotenuse length }}$$ From the table, $${m}<{D}={6 5 ^ { \circ }}$$

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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 $m<D$ in the triangle below.

$65^{\circ}$

$70^{\circ}$

$55^{\circ}$

$90^{\circ}$

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