In triangle DEF GH||EF. DG:GE=5:3DE=32mm and DF=24mmfind the length of DG, GE, DH and HF

In the diagram below, tan θ = sqrt 3. what is the value of m?

One of the inventors of integrated circuits observed that the number of transistors that fit on an integrated circuit will double every 24 months. what type of relationship most appropriately models this situation?

Math i have no idea how to do a and b