SOLUTION: from a ship's deck 12 meters above water, the angle of elevation of a building 50 meters from the edge of a cliff which is 950 meters away is 5 degrees 7 minutes. how high does the

Algebra ->  Trigonometry-basics -> SOLUTION: from a ship's deck 12 meters above water, the angle of elevation of a building 50 meters from the edge of a cliff which is 950 meters away is 5 degrees 7 minutes. how high does the      Log On


   

Question 247111: from a ship's deck 12 meters above water, the angle of elevation of a building 50 meters from the edge of a cliff which is 950 meters away is 5 degrees 7 minutes. how high does the building rise above sea level?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
total distance to the building is 950 + 50 meters.

950 is the distance from the ship to the cliff.
50 is the distance from the edge of the cliff to the building.

The angle of elevation from the ship's deck is 5 degrees 7 minutes.

7/60 = .1166666667 degrees.

5 degrees 7 minutes translates to an angle of 5.1166666667 degrees.

tan(5.1166666667) = x/1000

multiply both sides of this equation by 1000 to get:

1000 * tan(5.1166666667) = x

That turns out to be:

x = 89.54083516 meters.

Add 12 to that and the building is 101.54083516 meters above the sea level.