PLEASE HELP WITH THESE EXERCICES

Mathematics
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Oct 9th, 2014

5.

Now  sin (theta) = 300/450

    then       theta = sin^-1(300/450)

                           = sin^-1(0.667)

                           = 41.8 degree

Now      x^2 = 450^2 - 300^2

             x = √450^2 - 300^2

             x = √202500 - 90000

             x = √112500

Hence      x  =  335.4 m

6.    Now for triangle

tan (138 degree) = x / 4

x = 4 * tan (138 degree)

x = 4 * 0.9004

x = 3.6 m

Now Area of plate = area of triangle + area of square

       Area of plate = 0.5 * 4 * 3.6 + 6^2

      Area of plate = 7.2 + 36

      Area of plate = 43.2 m^2

7.   

Figure is not perfect, its just to understand. then

Now cos (17 degree) = X2/6.4

      X2 = 6.4 * cos (17 degree)

      X2 = 6.4 * 0.956

      X2 = 6.1 m

Now   sin (37 degree) = X1/5.2

     X1 = 5.2 * sin (37 degree)

     X1 = 5.2 * 0.602

     X1 = 3.1 m

Now 

X = X1 + X2

X = 3.1 m  +  6.1 m

X = 9.2 m

Hence the distance from ground to end of pipe is 9.2 meter .

Oct 10th, 2014

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