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Math Help - Rectangular coordinate system

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    Rectangular coordinate system

    • A two-person tent is to be made so that the height at the center is a = 3 feet (see the figure below). If the sides of the tent are to meet the ground at an angle α = 30, and the tent is to be b = 9 feet in length, how many square feet of material will be needed to make the tent? (Assume that the tent has a floor and is closed at both ends, and give your answer in exact form.)


    Last edited by garbles; October 28th 2009 at 04:24 PM.
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    Quote Originally Posted by garbles View Post
    • A two-person tent is to be made so that the height at the center is a = 3 feet (see the figure below). If the sides of the tent are to meet the ground at an angle α = 30, and the tent is to be b = 9 feet in length, how many square feet of material will be needed to make the tent? (Assume that the tent has a floor and is closed at both ends, and give your answer in exact form.)
    in a 30-60-90 triangle, if the short leg has length 3, then the hypotenuse has length ?
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    I'm sorry I forgot to post the picture.

    I'll post it now.
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    Quote Originally Posted by garbles View Post
    • A two-person tent is to be made so that the height at the center is a = 3 feet (see the figure below). If the sides of the tent are to meet the ground at an angle α = 30, and the tent is to be b = 9 feet in length, how many square feet of material will be needed to make the tent? (Assume that the tent has a floor and is closed at both ends, and give your answer in exact form.)


    You can use the trig identities of a 30 60 90 triangle to find the length of the missing side (the hypotenuse and base of α). After you find that side the rest should be very easy.


    Hint: Set up a proportion. If 1 is changed to 4, what does 2 equal and what does \sqrt{3} equal?
    Last edited by WhoCares357; October 28th 2009 at 06:32 PM.
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