what is the distance from the tip of the shadow to the top of his head?

#1

Right angle triangle, Adam's height is equal to one of its side (Opposite to angle 60) 

So, 

Using trigonometry

we know that sin(60)=opp/hyp (We want to find the hypotenuse as it will tell us the distance from the tip of the shadow to the real adam's head. 

(Angle 60 is at the tip of the shadow) 

sin(60)=5.6/x (x is the hypotenuse) 

xsin(60)=5.6 

 Now divide each side by sin(60)

x=5.6/sin(60)=6.46632301 approx.=6.47 Option c is correct.

#2

"

"If r and s are odd positive integers. Which expression must also be an odd integer?"

Just let r=1 , s=3 (Or any other odd positive integer) 

First, 3rs , 3(1)(3)=9 (Which is odd so A is the correct choice) If you tried all, all are wrong except A

#3

Graph it, then make a line going from up to down till it touches the same horizontal line as the other endpoint, and match it straightly.

Other method (Imo better)

(3-(-3))^2 + (2-(-6))^2

= 6^2+8^2= 36+64=100

sqrt(100)=10 

answer is B 10  

1)  5 ft 6 in  =   5.5 ft

We know the opposite side to  the given angle and we are looking for the hypotenuse

So.....the sine is what we need

sin 60°   =  5.5  / hypotenuse        rearrange as

hypotenuse  =   5.5  / sin (60)   =   6.35 ft