Can someone PLEASEEEE explain to me how to do this??? I am SOO confused!!

Question

anonymous · Answer

attachment

jhonyy9 · Answer

park-library will be =sqrt116
park-football field --- will be =sqrt(116+100) = sqrt216

campbell_st · Answer

there are 2 similar triangles by angle angle test as shown in the diagram 

|dw:1333135297820:dw|

the side PH is common to both triangles and can used to find the ratio of corresponding
sides in similar triangles

x/14 = 4/x

$$x^2 = 56$$

$$x = \sqrt{56}$$

Now use pythagoras' theorem to find the Park, Library distance. The 
right triangle has sides 4 and  $$x = \sqrt{56}$$

then  $$LP^2 = (\sqrt{56})^2 - 4^2$$

$$LP = \sqrt{40} = 2\sqrt{10}$$

Same method for Football field - Park

Sides 14 and $$x = \sqrt{56}$$

$$FP^2 = 14^4 - (\sqrt{56})^2$$

$$FP = \sqrt{140} = 2\sqrt{35}$$

I hope this make sense