Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known values:
[tex]sin(74^o)=\frac{x}{12}[/tex]
Rearrange to isolate the variable:
[tex]x=12sin(74^o)[/tex]
Simplify!
[tex]x=11.535140... ft[/tex]
Round to the nearest foot:
[tex]x=12ft[/tex]
