Answer:692.82 ft
Step-by-step explanation:
Given
Height of tower is [tex]h=100\ ft[/tex]
Tower is mounted at the top of [tex]H=1100\ ft[/tex] hill
angle of elevation [tex]\theta =60^{\circ}[/tex]
Using figure we can write
[tex]\tan \theta =\dfrac{h+H}{\text{Distance}}[/tex]
[tex]\tan 60^{\circ}=\dfrac{100+1100}{\text{Distance}}[/tex]
[tex]Distance =\frac{1200}{\tan 60^{\circ}}[/tex]
[tex]Distance=\frac{1200}{\sqrt{3}}[/tex]
[tex]Distance=692.82\ ft[/tex]
