The height of the Eiffel Tower is 1050 feet. From the top, the angle of depression to a soccer ball on the ground is 20 degrees. Find, to the nearest foot, the distance from the soccer ball to the base of the Eiffel Tower.
Since the angle of depression from the Eiffel tower is congruent to the angle of elevation from the soccer ball, the angle of elevation from the soccer field is 20°
Now, we can use the trigonometric function tangent to find the distance from the soccer ball to the base of the Eiffel Tower: [tex]tan( \alpha )= \frac{opposite.side}{adjacent.side} [/tex] [tex]tan(20)= \frac{1050}{a} [/tex] [tex]a= \frac{1050}{tan(20)} [/tex] [tex]a=2884.85[/tex] We can conclude that the distance from the soccer ball to the base of the Eiffel Tower is 2884.85 feet.
