Question

Spike (who is 6 feet tall) stands at a distance of x feet from a 24 foot high street light. Express the length L of his shadow as a function of x.

Answer 1

@Hero, @hartnn

Answer 2

similar triangles?

Answer 3

know the concept of similar triangles?

Answer 4

yes,they are similar,can u prove it?

Answer 5

they share the same hypontenuse.

Answer 6

nopes,they don't.

Answer 7

then i dont know

Answer 8

try proving two pairs of angles as equal,one is obvious.

Answer 9

right, they share the same right angle and the same acute angle.

Answer 10

24/(x+L)= 6/L

Answer 11

u got everything! good work.
now just isolate L.

Answer 12

how do i isolate L?

Answer 13

first cross multiply.

Answer 14

24L=6x+6L

Answer 15

or write 24=6*4 and cancel 6

Answer 16

L=6x/18

Answer 17

L=x/3

Answer 18

yup,correct :)