A contractor plans to build an artist's studio with a roof that slopes differently on the 2 sides. On one side, the roof makes an angle of 33 degrees with the horizontal. On the other side, which has a window, the roof makes an angle of 65 degrees with the horizontal. The walls of the studio are planned to be 22 feet apart. So, if i subtract those two angles from 180 i get 148...which is def obtuse. So is this the ambiguous case? Or is it a condition where I get more than one solution?
To determine whether this situation is an ambiguous case, we need to consider the given information and apply the conditions of the ambiguous case.
The ambiguous case occurs when we are given two angles of a triangle and one side length opposite one of the given angles. In such cases, we can have two possible solutions, one solution, or no solution at all.
In this scenario, we are given two angles, 33 degrees and 65 degrees, but we don't have any specific side length specified. Since the only information about distance given to us is that the walls of the studio are planned to be 22 feet apart, we don't have a specific side length opposite either of the given angles.
Therefore, this situation does not fall into the ambiguous case. With the given information, we can't determine any specific triangle or calculate its dimensions.