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1.
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Find the inclination (in degrees)
of the line with a slope of . Round your answer to one decimal
places.
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2.
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Find the inclination (in degrees)
of the line with a slope of . Round your answer to one decimal
places.
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3.
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Find the inclination (in radians
and degrees) of the line passing through the points. Round your answer to four decimal places for
radians and round your answer to one decimal places for degree.
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4.
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Find the inclination (in radians
and degrees) of the line passing through the points. Round your answer to four decimal places for
radians and round your answer to one decimal places for degree.
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5.
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Find the angle (in radians
and degrees) between the lines. Round your answer to four decimal places for radians and round your
answer to one decimal places for degree.
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6.
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Find the angle (in radians
and degrees) between the lines. Round your answer to four decimal places for radians and round your
answer to one decimal places for degree.
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7.
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Find the distance between the point and the line.
Round your answer to four decimal places.
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8.
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A straight road rises with an inclination of 0.26
radian from the horizontal. Find the slope of the road and the change in elevation over a six-mile
stretch of the road. Round your answer to four decimal places for the m round your answers to
nearest whole number for change in elevation.
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9.
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The Falls Incline Railway in Niagara Falls,
Ontario, Canada is an inclined railway that was designed to carry people from the City of Niagara
Falls to Queen Victoria Park. The railway is approximately 140 feet long with a 42% uphill grade (see
figure). Find the change in elevation from the base to the top of the railway. Round your answers to
one decimal place.
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10.
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Consider a line with slope m and
y-intercept . Write the distance d between the
origin and the line as a function of m.
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