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A roof rises 9.5 ft over a horizontal distance of 19.32 ft. What is the slope of the roof?

Answer 1

Julia Adams

Slope = #9.5/19.32 = 475/966#

Angle of inclination = #26.2°#

Slope is defined as the #"vertical displacement"/"horizontal displacement"#

Both of these have been given.

Slope = #9.5/19.32 = 475/966#

As this is a really awkward fraction it might be more practical to give the slope of this roof as its inclination from the horizontal.

#Tan x = 9.5/19.32 = 0.491718...#

Angle of inclination = #26.2°#

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Answer 2

Jameson Allen

The slope of the roof is calculated by dividing the rise (9.5 ft) by the horizontal distance (19.32 ft). So, the slope is ( \frac{9.5}{19.32} ), which equals approximately 0.4915. Therefore, the slope of the roof is approximately 0.4915.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.