The student needs to know how tall the flagpole is, so he decides to use
his height and shadows cast by the sun, as shown in the picture. Both shadows end
where the green and yellow lines intersect. What is the height of the
flagpole?
http://i.imgur.com/xSCKe7G.png''.
I need explanations, and all work it took to get the the answer please and thank you.

Question

The student needs to know how tall the flagpole is, so he decides to use
his height and shadows cast by the sun, as shown in the picture. Both shadows end
where the green and yellow lines intersect. What is the height of the
flagpole?
http://i.imgur.com/xSCKe7G.png''. 
I need explanations, and all work it took to get the the answer please and thank you.

imstuck · Answer

You could solve this using a similarity ratio.  Here|dw:1401683121197:dw|$$\frac{ x }{ 85 }=\frac{ 6 }{ 10 }$$Cross multiply to solve for x.  10x = 85(6).  10x =510.  x = 51.  The flagpole is 51feet.

anonymous · Answer

thank you!!!!!

imstuck · Answer

You're very welcome!  I am very happy to help you!