Question

a street light is at the top of a 10 foot pole. a 6 foot tall woman walks away from the pole with a speed of 5 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 35 ft from the base of the pole? ***need help setting it up***

Answer 1

similar triangles should get you through this one. you know that
\[\frac{y}{6}=\frac{x+y}{10}\] and so
\[10y=6x+6y\]
\[4y=6x\]and finally
\[x=\frac{2}{3}y\]

Answer 2

actually you should use
\[y=\frac{3}{2}x\] since you want
\[y'\] and you are told that
\[x'=5\]
you see that
\[y'=\frac{3}{2}\times 5\]

Answer 3

okay so would i need to multiply 3/2 and 5 together?

Answer 4

yes that will do it.

Answer 5

i did and its tellng me its wrong?