Hi everyone, I find it quite difficult to solve three dimensional problems in trigonometry.
I would be delighted if any of you could give me advice on solving such problems, providing me with the steps taken to solve it.You can also tell me what should I consider first , and find out what , eg the right angle triangle and so on.
Thanks in advance!
Alright, this is my example question.
Each side of a uniform tetrahedron ABCD has a length of 4a. The point P lies on BC such that BP = 3a . Find the cosine of angle ADP ( solved).
Show that the perpendicular distance of vertex A from the plane BCD is (4/3)(a)(sqrt 6), and hence show the angle that the line AP makes with the plane BCD is inverse sin (sqrt (32/39)).