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in the construction of a certain road, an overpass must be planned 10 m over a railroad track. The rise in the road is to be uniform and the start 190 m from the track. What will be the measure of the angle of rise of the overpass?

 May 26, 2014

Best Answer 

 #1
avatar+118723 
+5

$$tan\theta =\frac{10}{190}$$

$$\theta=tan^{-1}\left(\frac{10}{190}\right)$$

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{10}}}{{\mathtt{190}}}}\right)} = {\mathtt{3.012\: \!787\: \!504\: \!183^{\circ}}}$$

approximately 3 degrees.

 May 27, 2014
 #1
avatar+118723 
+5
Best Answer

$$tan\theta =\frac{10}{190}$$

$$\theta=tan^{-1}\left(\frac{10}{190}\right)$$

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{10}}}{{\mathtt{190}}}}\right)} = {\mathtt{3.012\: \!787\: \!504\: \!183^{\circ}}}$$

approximately 3 degrees.

Melody May 27, 2014

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