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 .

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