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Answer:
The height of Sandy is 68.74 inches.
Step-by-step explanation:
It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.
Let the height of Sandy be x.
Sandy casts a shadow that is 9 feet 2 inches long.
We know that 1 feet = 12 inches
Using this conversion, we get
Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches
In a right angled triangle,

In triangle ABC,


Multiply both sides by 110.



Therefore the height of Sandy is 68.74 inches.
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
Answer:
c 25
Step-by-step explanation:
since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.
