Slope of a Ceiling (Linear)

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MathBane

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A cathedral ceiling shown in the figure below is 8 feet high at the west wall of a room. As you go from the west wall toward the east wall, the ceiling slants upward. Three feet from the west wall, the ceiling is 10.5 feet high.

figure334.gif


(a) What is the slope of the ceiling? (Round your answer to four decimal places.)

(I see some triangles in the space... do I have to use the Theorem to find the slope?)
 
I would be good to use the equation...

\(\displaystyle \frac{Y_2-Y_1}{X_2-X_1}=slope\)

Y is your height.

X is the distance from the west wall.

In words this equation is rise over run... the change in height divided by change in length.

Is that clear?
 
\(\displaystyle \frac{10.5-8}{17-3} = 0.1786\) rounded to four places.

But it says that it is not correct... so... what have I done wrong?
 
MathBane said:
\(\displaystyle \frac{10.5-8}{17-3} = 0.1786\) rounded to four places.

But it says that it is not correct... so... what have I done wrong?
Click to expand...

The "rise" is 10.5 - 8....

The "run" is the horizontal change, which is GIVEN to be 3 feet.

rise/run = (10.5 - 8)/3
 
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