Answer:
13.23 ft
Explanation:
We have the slope of the ladder so we can calculate the angle above the horizontal.
[tex]tan(\theta)=\frac{OC}{AC}\\tan(\theta)=\frac{3.1ft}{1ft}\\\\\theta=arctg(3.1)\\\theta=72^o[/tex]
we can calculate the height using the following formula:
[tex]tan(\theta)=\frac{h}{d}\\h=d*tan(\theta)\\h=4.3ft*tan(72^o)\\h=13.23ft[/tex]
the height the ladder meets the house is at 13.23 ft
