Solving word problems involving angles of elevation, angles and two ladders

Question

a ladder 15.3 meters long can be placed so that it will reach a window on abuilding on one side of the street. at this point it forms a 55 degree with the horizontal. if the ladder is tipped the other direction (without moving the base) it will reach a window on the building across the street. at this point, the ladder forms a 20 degree angle with the horizontal. how hugh above the ground are each of the windows?

Answer 1

First window:

 

h = (15.3 m)*sin(55°) = 12.53 m

 

Second window:  

 

h = (15.3 m)*sin(20°) = 5.23 m