A roof rises 8.25 ft over a horizontal distance of 11.42 ft.?

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A roof rises 8.25 ft over a horizontal distance of 11.42 ft.?

. What is the slope of the roof to the nearest hundredth?

2007-06-20 02:30:03 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

Rise / Run
= 8.25 / 11.42
= 0.72 ft

2007-06-20 02:35:06 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋

assume a right angle triangle. Then use trigonometry.
a2 + b2 = c2
(11.42*11.42) + (8.25*8.25) = c2
130.4164 + 68.0625 = c2
198.4789 = c2
c = sqrt 198.4789 = 14.088
to nearest hundredth, distance = 14.09ft.

angle, as already explained is tan 8.25/11.42
=35.8Âº

2007-06-20 10:52:26 · answer #2 · answered by pjm81x 2 · 0⤊ 0⤋

Let slope = m
m = 8.25 / 11.42
m = 0.72
This is an angle of 35.8Â°

2007-06-20 10:49:50 · answer #3 · answered by Como 7 · 0⤊ 0⤋

tan x = 8.25/11.42
x = 36.66 degrees

2007-06-20 09:37:54 · answer #4 · answered by jeremy s 2 · 0⤊ 0⤋