Question

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

House with a ladder measuring 166 inches forming a right triangle. The base angle formed by the ladder is 60 degrees.

Answer 1

oh i forgot all about cosine, thanks!

Answer 2

wait a minute

Answer 3

sorry slight change:

opposite/hypotenuse = sine
x/166 = sine60

x= 166*sine(60)
x = 166* sqrt(3)/2

Answer 4

x= 143.7602
x= 143.76

Answer 5

Yes sine = opposite/hypotenuse
cosine = adjacent/hypotenuse

Answer 6

oh yeah thats right

Answer 7

Yes you are right.
so in this case the distance from the bottom of the ladder to the bottom part of the wall is what is 83 in.
but the house height is 143.76 in

Answer 8

thanks, this was a big help