Answer:[tex]\theta =68.96^{\circ}[/tex]
Step-by-step explanation:
Given
length of ladder [tex]L=15\ ft[/tex]
Height of light from floor [tex]h=14\ ft[/tex]
so Jamie should inclined the ladder at an angle of \theta with the floor
such that [tex]\sin \theta =\frac{h}{l}[/tex]
[tex]\Rightarrow \theta =\sin ^{-1}\frac{h}{l}[/tex]
[tex]\Rightarrow \theta =\sin ^{-1}(\frac{14}{15})[/tex]
[tex]\Rightarrow \theta =68.96^{\circ}[/tex]
