The pitch of a roof is just the slope of the roof. Of course in the real world,

Question

The pitch of a roof is just the slope of the roof. Of course in the real world, we plane, don't have any xy-plane, so we only use positive (or at least non-negative) slopes. If roof has a pitch of zero what does it look like? If the pitch of the roof is a very large number, what does the roof look like? Suppose your roof is 27 feet above the ground at its peak and only 22 feet above the ground at the front the house. How far does it rise.? Suppose the front of the house is 17 feet from the street and the peak is 32 feet from the street (measure just horizontally). How far is the run from the front edge to the peak? What is the pitch of this roof? Why do we care about the pitch of the roof? For what reasons could a steeper roof be better and for what reasons would a less steep roof be better? The grade of a road is just the slope converted into a percent. So when you find the slope, multiply by 100 to get the grade. Again we use only non-negative slopes. A road rises 12 feet over a horizontal distance of 640 feet. What is its slope? What is its grade? A road has a 16.7% grade. What is its slope? Why might we want to warm drivers of a grade like this?

Explanation / Answer

1) a) pitch of roof =0 ; m =0 ;

roof is flat horizontally

b) pitch of roof = very large value , m>>>>> ; theta is close to 90 deg

roof is almost perpendicular to horizontal

c) roof is 27 feet at its peak and 22 feet at the front which measn roof rises by 5 feet

d) 17ft from front and 32 ft from peak.So, length of run of roof = 32 -17 = 15ft

e) pitch = 5/15 = 1/3 = 0.33

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.