SOLUTION: A 70 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 13° and that the ang

Algebra ->  Trigonometry-basics -> SOLUTION: A 70 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 13° and that the ang      Log On


   



Question 1188714: A 70 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 13° and that the angle of depression to the bottom of the monument is 8°. How far is the person from the monument?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let d be the distance from the building to the monument, horizontally.


Then equation you need to solve is  d*tan(13°) + d*tan(8°) = 70 feet.


From the equation,  d = 70%2F%28tan%2813%5Eo%29+%2B+tan%288%5Eo%29%29 = 70%2F%280.231+%2B+0.141%29 = 188.17 ft.    ANSWER

Solved.