This a problem in the functions section of my calculus textbook and I was having massive trouble with setting up this function. I have tried to use sin and cosine functions to isolate the hypotenuse which is the plank in this context but I always end up with another variable besides theta because I don’t know the lengths of the triangles sides, only parts such as 3 and 4 ft. The final answer is supposed to be
and I honestly can only slightly get 3csc(theta) but I’m getting another variable that I can’t rid of. I’m making up these variables because I have to subtract or add unknown lengths to get those trig ratios