Where m is the intersection of BC and AD, then the length of MC is equal to the distance from M to AB. Do you know why? Find a solution to this problem.
Make AB vertical MH pass through m point
∫∠CAB = 60
∠DAB=30
∴∠CAD=30 =∠DAB
∵MH⊥AB
∴∠MHA=90
∠∠C = 90°
∴∠C=∠MHA
MA = MA
∴△MCA≌△MHA(AAS)
∴MH=MC
Answer finished, hope to adopt.