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nohegarcia
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Find the area of the trapezoidal crosssection of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.
http://www.webassign.net/hgmcalc5/15049.jpg
 2 years ago
 2 years ago
nohegarcia Group Title
Find the area of the trapezoidal crosssection of the irrigation canal shown below. Your answer will be in terms of h, w, and θ. http://www.webassign.net/hgmcalc5/15049.jpg
 2 years ago
 2 years ago

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NoelGreco Group TitleBest ResponseYou've already chosen the best response.0
dw:1346472458903:dw Can you calculate p from some trig function of theta ("th" is theta in drawing)
 2 years ago

nohegarcia Group TitleBest ResponseYou've already chosen the best response.0
1/2*p*h=area?
 2 years ago

NoelGreco Group TitleBest ResponseYou've already chosen the best response.0
Yeah, but we really need to use p temporarily. First of all do you see how I got the theta near the p?
 2 years ago

nohegarcia Group TitleBest ResponseYou've already chosen the best response.0
its a complmentary angle? sorry im totally lost
 2 years ago

NoelGreco Group TitleBest ResponseYou've already chosen the best response.0
No, actually, it's congruent to the theta given in the problem because alternate interior angles of transversals and parallel lines are congruent. Does that ring any bells?
 2 years ago

nohegarcia Group TitleBest ResponseYou've already chosen the best response.0
kindof but i dont know why you would do that
 2 years ago

NoelGreco Group TitleBest ResponseYou've already chosen the best response.0
Well, if I knew an expression for p, I could say that the long base of the trapezoid was w + 2p, the other base is w, and we have h. That's all you need for the area of a trapezoid.
 2 years ago

NoelGreco Group TitleBest ResponseYou've already chosen the best response.0
Isn't \[\tan \theta = \frac{ h }{ p}\]
 2 years ago

nohegarcia Group TitleBest ResponseYou've already chosen the best response.0
yeah so what would the area be?
 2 years ago

nohegarcia Group TitleBest ResponseYou've already chosen the best response.0
tan(theta)*p/h
 2 years ago

nohegarcia Group TitleBest ResponseYou've already chosen the best response.0
@NoelGreco
 2 years ago
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