Right Triangle Trigonometry - How tall is the building?

Question

The angle of depression from the top of a building to a point on the ground is 23 degrees. A cat is sitting 50ft closer that the point to the base of the building. the angle of elevation from the cat to the top of the building is 47 degrees. how tall is the building?

Answer 1

depression angle to top of building = 23 degrees

a cat is 50 feet from the base of the building

depression angle to the cat = 47 degrees

how tall is the building??

construct some right triangles and calculate the sides

use law of sines, law of cosines, Pythagorean Theorem

but there may be a problem with the problem

as it doesn't make sense if you diagram it