For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.
For this problem, we use our knowledge on trigonometric functions on a right triangle to be able to calculate for the x and y components of the walk. We do as follows:
sin 60 = ax / 9.4
ax = 8.14
cos 60 = ay / 9.4
ay = 4.7
The distance between (0,3) and (3,0) = sqrt 18
The other 3 distances on the rhombus must also be = sqrt18.
Distance between (3,6) and (6,3) = sqrt 18 , also distance between (3,6 and (0,3) = sqrt18 and distance between (3,0) and (6,3) = sqrt 18
Answer is (3, 6) and (6 , 3)