Question

Dolores is standing on a horizontal ground level with the base of the Statue of Liberty in New York City. The angle formed by the ground and the line segment from her position to the top of the statue is 26.3°. The height of the Statue of Liberty is approximately 93 meters. Find her distance from the Statue of Liberty to the nearest meter.

Answer 1

Tanα=y/x

x=y/tanα, we are told that y=93m and α=26.3°

x=93/tan26.3 m

x≈188m  (to nearest whole meter)