Mathematics Assignment


Text Box: x
Text Box: 4000 ft
Text Box: 12o


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Tan 120= 4000/x     (multiply each side of the equation by x)

x Tan 120=4000       (divide each side by Tan 120 )

x Tan 120/ Tan 120 =4000/ Tan 120

x=4000/ Tan 120

x= 18818.52 ft


Text Box: x
Text Box: 50 ft
Text Box: 10o
Text Box: 10o


Tan 100= 50/x     (multiply each side of the equation by x)

x Tan 100=50       (divide each side by Tan 120 )

x Tan 100/ Tan 100 =500/ Tan 100

x=500/ Tan 100

x= 283.56 ft


Text Box: 10o
Text Box: x
Text Box: 10o
Text Box: 205 yards
Text Box: Ground level


Tan 15.60= x/205     (multiply each side of the equation by 205)

205 Tan 15.60=x    

x= 57.24 yards


Text Box: 85 ft
Text Box: 15 ft
Text Box: x


Sin x = 15/85    

Sin x =0.1765       (Find the sin inverse of 0.1765)

x= Sin—1 0.1765

x= 10.160


Text Box: 30 ft
Text Box: x
Text Box: 10 ft


Cos x = 10/30    

cos x =0.3333       (Find the cos inverse of 0.1765)

x= Cos—1 0.3333

x= 70.530


Text Box: x
Text Box: 20ft
Text Box: 20 ft


Cos 170= 20/x     (multiply each side of the equation by x)

x Cos 170=20       (divide each side by Cos 170 )

x Cos 170/ Cos 170 =20/ Cos 170

x=20/ Cos 100

x= 20.91ft

Rafter= x + overhang

Rafter= 20.91 + 1     (12 inch= 1 foot)

Rafter= 21.91 feet


Text Box: 25 ft

Sin 140= x/25 (multiply each side by 25)

25 Sin 140= x

x= 6.05 feet


Text Box: 38 inches
Text Box: 180
Text Box: x

Cos 180= x/ 38 (multiply each side by 38)

38 Cos 180= x

x= 36.14 inches


y=x2 – 4x + 9


y=9, x=0

y=x2 + 4x + 9


y=9, x=0

y=-x2 – 4x + 9


y=9, x=0

y=x2 – 4x + 9


y=-9, x=0

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