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A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles.

To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

 Jun 24, 2014

Best Answer 

 #1
avatar+576 
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This is a tangent problem.  Draw out your picture, a right triangle where the horizontal side is 5 and label the vertical side as x.  From the angle of 6 degrees the opposite side is x and the adjacent side is 5, thats why we use tangent.  Set up the problem as follows:

tan(6)=x/5

Multiply both sides by 5

5tan(6)=x

x=0.526 miles

 Jun 24, 2014
 #1
avatar+576 
+10
Best Answer

This is a tangent problem.  Draw out your picture, a right triangle where the horizontal side is 5 and label the vertical side as x.  From the angle of 6 degrees the opposite side is x and the adjacent side is 5, thats why we use tangent.  Set up the problem as follows:

tan(6)=x/5

Multiply both sides by 5

5tan(6)=x

x=0.526 miles

jboy314 Jun 24, 2014

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