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A HOUSE? Pillars And Arches in MATH?Ahhh 
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#1
Dec2404, 09:30 PM

P: 587

Im given a picture of a house, There is a traingular arch on top of the entrance held up by 2 pillars.
point * l___________l l___________l l___________l 10 ft The distance between the pillars is 10 ft the pillars are 7 ft high and distance from the ground to the triangle arches point is 10ft. The question said to sketch the pillars and arch on a grid, which I did. 1.)It says for each of the two pillars, determine an equation that models it? and then state the domain and range of each equation. (I dont even know where to start on this) 2)also determine the function that models the triangular arch. (I have no idea!) state the domain and range 


#2
Dec2404, 09:37 PM

P: 220

For 2) It will be an absolute value equation. It's hard to explain, so it might be easier if you do 1 first. 


#3
Dec2504, 08:21 PM

P: 587

yes i understand that the eqn for the arch will be an absolute value one but what about the pillars? What is the equation for the straight pillars? I dont understand how to do this.



#4
Dec2504, 08:27 PM

P: 220

A HOUSE? Pillars And Arches in MATH?Ahhh



#5
Dec2504, 08:35 PM

P: 587




#6
Dec2504, 08:48 PM

P: 220




#7
Dec2504, 09:00 PM

P: 587

x=0 y=7 , and x=10 y=7?
When there is range this doesnt look like an equation anymore it looks more like a pair of coordinates. 


#8
Dec2604, 02:36 AM

Sci Advisor
HW Helper
P: 11,926

[tex] P_{1}:(x=0,0\leq y\leq 7) [/tex] and [tex] P_{2}:(x=10,0\leq y\leq 7) [/tex] Tell us (u didn't make the drawing available) what shape that triangle has.Is it isosceles??If so,the problem to find the equations for its three sides is terribly simple. Daniel. PS.For the pillars,u can use the 'closed interval' notation. 


#9
Dec2804, 12:49 AM

P: 587

yes the triangle on top of the pillars is an isosceles triangle



#10
Dec2804, 03:53 AM

Sci Advisor
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P: 11,926

Daniel. 


#11
Dec2804, 10:29 PM

P: 587

ok which angles am I solving for and what do u mean by segments?



#12
Dec2904, 03:21 AM

Sci Advisor
HW Helper
P: 11,926

The angles in the isosceles triangle,of course.U only need to know one of them,since 2 are equal and the sum in 180°.U'll be needing the angle between the horizontal pillar and one of the verticals joining at the summit of the arch.
"Segment"??I believe it's the word to describe the line between 2 fixed points...?? Daniel. 


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