Answer:
I believe the answer is 5m.
Step-by-step explanation:
We are given the values of the post and pole. It should be noted that the key words here are "at the same time".
post
2m tall
16m long shadow
pole
xm tall
40m long shadow
My best guess is that the prompt wants you to set up an equation like the one below and solve for x, how tall the pole is.
[tex]\frac{16}{2}[/tex] = [tex]\frac{40}{x}[/tex]
16 divided by 2 is 8. 40 divided by 5 is also 8, meaning that x is equal to 5.
If you don't automatically know that 40 divided by 5 is 8, you can also solve this equation like this:
cross multiply
16x = 40*2
16x = 80
divide both sides by 16
x = 5
there you go, I hope this helped!
