Frank got chased by two dogs and was forced to climb on top of a house. The house is 60ft tall and the angle at which the dogs see him is 32 degrees. Frank wants to find the length between him looking down at the dogs. Using sin he calculates that sin(32)*60= 31.8
The next day Frank gets chased up a different a house. The angle of depression from frank to the dogs is 45 degrees, the diagonal distance is 90. what is the height of the house so frank can jump down? He use cos(45)*90=63.6ft.
Today the dogs decide to rest and not chase Frank because they are too tired.
Frank had enough and stayed home so the dogs decide to chase a cat on to a house. The house is 21 feet tall and the distance from the dogs to the house is 21 feet. The cat wants to find the angle of elevation to see the angle that the dogs can see him. He uses the inverse of tangent and discovers that tan-1(21/58)=19.9 degrees.