# Math Problem

#### emmaiskool242

##### Junior Member
A rope from the top of a mast on a sailboat is attached to a point on the deck 5 ft from the base of the mast. If the rope is 13 ft long how high is the mast?

ok, so thats my problem I have know Idea how to do it and I need help. If you can show me how you would do this to that would be helpful

~Thanks~=)

#### stapel

##### Super Moderator
Staff member
Use the Pythagorean Theorem. Draw the picture, if you're not sure where the given values go.

Eliz.

#### emmaiskool242

##### Junior Member
but how, i tried drawing a picture already, the thing is I don't understand which numbers plug in where??

#### stapel

##### Super Moderator
Staff member
emmaiskool242 said:
I don't understand which numbers plug in where??
You have "a<sup>2</sup> + b<sup>2</sup> = c<sup>2</sup>", where "a" and "b" are the legs and "c" is the hypotenuse. You say you have drawn the picture, so you can see from that which are the (shorter) legs and which is the (longer) hypotenuse.

Please clarify where you are stuck. Thank you.

Eliz.

#### emmaiskool242

##### Junior Member
So maybe i should say I don't understand how to draw the picture, because if i did that then I would know which numbers to plug in where??

#### emmaiskool242

##### Junior Member
Ok so I tried again and I got that b=12ft

is that correct???

#### Denis

##### Senior Member
Yes, 12 is correct. Good work :idea:
What you really had was a right triangle, hypotenuse = 13, one leg = 5.

#### emmaiskool242

##### Junior Member
Ok yeah i got it right ok thankyou everyone