A ladder leans against the side of a house. The angle of elevation of the ladder is 61°, and the top of the ladder is 14 ft above the ground.
In the above diagram, AB is the ladder and AC is the house.
[tex]\begin{gathered} \angle\text{ABC}=61^o \\ AC=14\text{ ft} \end{gathered}[/tex]
In th etriangle ABC,
[tex]\begin{gathered} \frac{AC}{BC}=\tan 61 \\ \frac{14}{BC}=\tan 61 \\ BC=\frac{14}{\tan 61} \\ =7.76 \end{gathered}[/tex]
So, the distance from the bottom of the ladder to the side of the house is approximately 7.76 ft
