Answer:
The distance from the base of the dam to the boat is = 10261 ft
Step-by-step explanation:
From the ΔABC
AB = Height of the dam = 2369 ft
BC = x = distance of the boat from the base of the dam
Angle of elevation = 13°8'
[tex]\tan \theta = \frac{AB}{BC}[/tex]
[tex]\tan[/tex] 13°8' = [tex]\frac{2369}{x}[/tex]
[tex]0.23 =\frac{2369}{x}[/tex]
x = 10261 ft
Therefore the distance from the base of the dam to the boat is = 10261 ft
