Sherry spots a car as she is looking down at a 70° angle from the top of the Eiffel Tower, which is 1063 ft tall. How far away from the base of the tower is the car?

May 11, 2018

color(indigo)("Distance between the car and base of Eiffel tower is " = 386.9'

Explanation:

$\hat{D} A C = \hat{A} C B = {70}^{\circ} , A b = h = 1063 ' , \text{ To find } B C$

$\tan \hat{A C B} = \frac{A B}{B C} = \frac{h}{B C}$

$\overline{B C} = \frac{h}{\tan} \hat{A C B} = \frac{1063}{\tan} 70$

color(indigo)("Distance between the car and base of Eiffel tower" = BC = 386.9'