Question 247111
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.