PLEASE HELP I DONT UNDERSTAND ILL GIVE MORE IF ITS RIGHT

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

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.