A ladder leans against a house at a 60 degree angle to the ground. if the ladder extends to a length of 166 inches, what is the height of the house rounded to the nearest hundredth of an inch?

Question

anonymous · Answer

Does the ladder reach the top of the house?

anonymous · Answer

attachment

anonymous · Answer

i just posted the pic

anonymous · Answer

OK, looks like it does, then you can use sine function.

anonymous · Answer

yes it does

anonymous · Answer

im just confused about the whole thing

anonymous · Answer

can you help?

anonymous · Answer

This is a trig problem.|dw:1351091254098:dw|

anonymous · Answer

okay i see that so what would my equation be with the numbers plugged in

anonymous · Answer

|dw:1351091564988:dw|

anonymous · Answer

is sine the same as sin-1?

anonymous · Answer

Nope. sin^-1 is the inverse-sine or 'arcsine' that function tells you what the angle is.
You don't want the angle, you want the side, so just use sine.

anonymous · Answer

i got 143.76 is that correct?

anonymous · Answer

To the nearest hundredth .. yes, that's what I got too.

Hmm, only 12 feet tall. The house looks bigger than that in the picture . . .
Oh well, can't trust pictures to be to scale anyway....

Good job!

anonymous · Answer

haha so true and thanks sooo much for taking the time to help me!

anonymous · Answer

im new to this so i best best response so does that give you a medal?

anonymous · Answer

Thank you.