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