Given:
Height of the Statue of Liberty = 305 feet
Angle of elevation = 9 degrees
To find:
The between the tourist and the Statue of Liberty.
Solution:
Using the given information, draw a figure as shown below.
In a right triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the triangle ABC,
[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]
[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]
[tex]x=1925.6942[/tex]
[tex]x\approx 1926[/tex]
Therefore, the tourist is standing 1926 feet from the Statue of Liberty.
