Question

The statue of liberty casts a shadow 240 feet long. At the same time, a 5 foot person casts an 8 foot shadow. What is the height of the shadow?

Answer 1

Ahh shadows... if only I could keep mine with me :D

ANYWAY

You mean what's the height of the statue, right?

Answer 2

Lol:)

Answer 3

I believe so; maybe it was a typo - I just entered what was printed on my sheet.

Answer 4

So, if I were to draw it, it'd be something like this?

And we're to find x?

Answer 5

I drew it like this

Answer 6

Well, you see two triangles, one BIG one, and one tiny one, right?

Answer 7

Yes.

Answer 8

By the way, something really important that you shouldn't forget:

Answer 9

Remember those angles are right angles :D
Now, could you find r? Use the Pythagorean theorem, and find that smaller hypotenuse :)

Answer 10

Oh. Okay.

Answer 11

Hmm.

Answer 12

would it be 240+8 at the bottom?

Answer 13

No. It's just 240 at the bottom. The 8 part is the part of the shadow cast by the five-foot guy :)

Answer 14

Oh,ok.

Answer 15

Now, about r?

Answer 16

a^2+b^2=c^2

Answer 17

8^2+5^2

Answer 18

is...?

Answer 19

89?

Answer 20

89^2= 7921

Answer 21

Methinks you're going too far :)
89 is r^2, so what's r? :D

Answer 22

89^2,right?

Answer 23

:/
\[\huge r^2 = 89\]\[\huge \sqrt {r^2}=r = ?\]

Answer 24

ohl thats 9.433981132056603

Answer 25

about 9.

Answer 26

I don't like that... leave it at
\[\large \sqrt{89}\] for now.

Answer 27

Okay, thing you gotta know about these two triangles
is that they are similar, you know what that means?

Answer 28

the ht of liberty statue (x)=150feet
this is done by using