What is the slope of the roof to the nearest hundredths?
2006-08-02 01:21:54 · 12 answers · asked by wicked 1 in Science & Mathematics ➔ Mathematics
The slope to the nearest hundreth could be 0.57 or (.565545243)
But to someone in the building trade it would be referred to as a;
6.79 to 12 slope/pitch.
Meaning the roof rises 6.79 inches for every 12 inches of span.
2006-08-02 02:11:04 · answer #1 · answered by Homes R Me 2 · 3⤊ 1⤋
This problem can be solved by
Tan x = 9.75/17.24
Tan x = 0.565545244
Tan x equal decimal ratio approximation
To solve for degrees
on your caculator press the second button and then press tan-1 button.
the degrees for tan x = 29.490012344°
The degrees equals 29.49° rounded to two decimal places
To convert from decimal to degrees minutes and seconds
29.49°
29.49(60) =29° 29.4
Multiplying.49 times 60 = 29.4
29° 29.4(60) = 24
Multiplying .4 times 60 equals 24
29° 29' 24"
29 degrees 29 Minutes and 24 seconds
The slope of the house is 29° 29' 24"
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To solve for the Hypotenuse side use the phythagorean Theorem
c² = âa² + b²
c² = â(9.75)² + (17.24)²
c² = â95.0625 + 297.2176
c² = â392.2801
c = 19.8060622 ft
c = 19.80 ft rounded to two decimal places
2006-08-02 11:15:37 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
use pythgorean theorem. c=sqrt(a^2 + b^2) where c is the slope, a is the horizontal distance, b is the roof's height. make sure all the units are the same
2006-08-02 08:28:19 · answer #3 · answered by ma_jo26 1 · 0⤊ 0⤋
19.81is the length of the slope.
The slope of the roof is vertical height/horizontal distance=0.5655
To the nearest hundeth is 0.57
2006-08-02 08:50:46 · answer #4 · answered by A O 2 · 0⤊ 0⤋
Let's see now. That's pythagoras's theorum. Let's see, yes, the rise squared plus the horizontal distance suared equals the square of the hypotenuse [the other line]. Whcih is 19.80605968
2006-08-02 08:33:15 · answer #5 · answered by Anonymous · 0⤊ 0⤋
slope = rise / run = 9.75 / 17.24 = 0.57
2006-08-02 11:16:49 · answer #6 · answered by jimbob 6 · 0⤊ 0⤋
m = (9.75)/(17.24)
m = (975/1724)
m = about .5655452436
2006-08-02 11:04:59 · answer #7 · answered by Sherman81 6 · 0⤊ 0⤋
tan x=9.75/17.24=0.566
slope=gradient=tanx
so the answer =0.566
2006-08-02 09:37:19 · answer #8 · answered by raj 7 · 0⤊ 0⤋
29.49 degrees
The theorem won't tell you the angle of the slope, it will tell you the length of the hypotenuse.
2006-08-02 08:32:10 · answer #9 · answered by Anonymous · 0⤊ 0⤋
I believe it's rise over run... 0.565 or 0.57, but I may be wrong, always double-check.
2006-08-02 08:27:09 · answer #10 · answered by Robb 5 · 0⤊ 0⤋