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?

Question

anonymous · Answer

attachment

swag · Answer

yes

anonymous · Answer

answer please its important... :L

anonymous · Answer

actually dont give me the answer i just need help step by step

anonymous · Answer

hmmm lets see my KPOP is in trouble

lgbasallote · Answer

sin theta = O/H

opposite is the height of the house..hypotenuse is the lenth of the ladder..theta is the angle

so...
sin(60) = O/166
O = 166 sin(60)
O = 143.76 in

anonymous · Answer

Swag wants a medal

anonymous · Answer

$$x=\frac{2\times 166}{\sqrt{3}}$$

anonymous · Answer

because as before ratios of that triangle are 
$$1:\sqrt{3}:2$$

anonymous · Answer

this tells you 
$$\frac{x}{166}=\frac{2}{\sqrt{3}}$$ and so 
$$x=\frac{2\times166}{\sqrt{3}}$$

anonymous · Answer

how would i put that in like inches ? would i have to solve it ? cuz look at what my questions look like...

anonymous · Answer

To be continued...?