# Coordinates of cluster in CDL channel model

I was reading the 3gpp specification to understand the CDL channel models. (See section 7.7.1 and tables within).

It says that for a cluster $$C$$,it has angles of arrival/departure along the azimuth $$(\theta)$$ and zenith $$(\phi)$$ with respect to the transmitter/receiver. ie, $$(\theta_{D,Tx}, \phi_{D,Tx}, \theta_{D,Rx}, \phi_{D,Rx})$$ are known.

I am interested in calculating the co-ordinates of the cluster $$C$$. How can I accomplish that based on the information in the tables. For example, consider cluster 2 in Table 7.7.1-4 for CDL-D which has a normalized delay of 0.035. Also, assume Tx is at point A $$(0,0,0)$$ and Rx is at unknown point B.

Can I make use of the normalized delay and the 4 angle values to locate $$C$$. If not exactly, at least approximately.

My thoughts/attempt: In some sense, I have a triangle ABC. I can compute $$\angle ACB$$ based on the given 4 angles. Also, the normalized delay can be used to infer a value $$k$$ such that $$AC +CB = AB + k.$$ But, I don't know how to continue further to locate $$C$$.