We can use the next diagram in order to solve the question
we need to find x, x is the distance from the house to the foot of the ladder, we will use a trigonometric function in order to find x in this case we will use the cosine
[tex]\cos (\theta)=\frac{AS}{H}[/tex]
where
θ= 60°
AS=x
H=15 ft
we substitute the values
[tex]\cos (60)=\frac{x}{15}[/tex]
we need to isolate the x
[tex]x=\cos (60)(15)=7.5ft[/tex]
the distance from the house to the foot of the ladder is 7.5 ft
