A flag in the shape of a right triangle is hung over the side of a building as shown below. The total weight of the flag is 230 pounds and it has uniform density. a = 10 and b = 26.
(a) Find the density of the flag. lbs/ft^2
(b) Find the approximate weight of the slice shown in the figure if it is located h feet below the roof of the building. pounds
(c) Find the approximate work needed to lift the slice onto the roof of the building. foot-pounds
(d) Find the exact work needed to lift the entire flag onto the roof of the building. foot-pounds

Question

A flag in the shape of a right triangle is hung over the side of a building as shown below. The total weight of the flag is 230 pounds and it has uniform density. a = 10 and b = 26. 
(a) Find the density of the flag. lbs/ft^2
(b) Find the approximate weight of the slice shown in the figure if it is located h feet below the roof of the building. pounds
(c) Find the approximate work needed to lift the slice onto the roof of the building. foot-pounds
(d) Find the exact work needed to lift the entire flag onto the roof of the building. foot-pounds

kkutie7 · Answer

i forgot to attach the picture!

kkutie7 · Answer

@TheSmartOne if you get the chance I'd appreciate the help. Also I'm pretty sure once I get the density the others should be easier for me to get.

kkutie7 · Answer

@zepdrix?

zepdrix · Answer

Hmmm I dunno :c

zepdrix · Answer

@Empty

empty · Answer

So they're asking for the density in units of pounds per square feet. So really you just need to find the weight of the flag in pounds (I think it's given in the problem already) and divide by the area of the flag in feet.

Really the whole problem boils down to finding the area of the flag, and dividing the weight by that value to get the density.

kkutie7 · Answer

so D=M/V mass  but w-ma so 230lbs/gravity?  Then I guess I need to find the volume of the flag...
so base*height/2.
I'm assuming

kkutie7 · Answer

It that is right then I need help with b. I'm having trouble with the area of the slice.

nincompoop · Answer

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nincompoop · Answer

have you used tangent ratio before?

kkutie7 · Answer

possible my memory is fuzzy

ganeshie8 · Answer

Hey what have you got for the density in part a ?

kkutie7 · Answer

well I started to do this but then I got busy doing something else. so i never followed it through.
"so D=M/V mass  but w-ma so 230lbs/gravity?  Then I guess I need to find the volume of the flag...
so base*height/2.
I'm assuming"

nincompoop · Answer

https://archive.org/stream/TeachYourselfTrigonometry/Abbott-TeachYourselfTrigonometry#page/n29/mode/2up

ganeshie8 · Answer

density has nothing to do with gravity, 
density is an property of material

kkutie7 · Answer

Oh comparing similar triangles, I've done that before.

kkutie7 · Answer

right, so just 230/volume then?

ganeshie8 · Answer

Yes, what do you get ?

ganeshie8 · Answer

the given shape is 2D, so density = 230/area

kkutie7 · Answer

230/(1/2(24)(10))=~
1.92

kkutie7 · Answer

nope thats not right

ganeshie8 · Answer

looks good, maybe leave it as $\rho = \dfrac{23}{12}$

kkutie7 · Answer

alright. so weight its the volume of the slice* density right

ganeshie8 · Answer

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