there is a women standing on a building. she sees a car. angle of depresion changes from 28 to 43 . distance traveled is 230 . find the hight of the building

Draw a right-angled triangle DAC, AC as a base line

Let CD be the height of the building.
Let B be a point between A and C, so that AB = 230
angle A = 28°
angle DBC = 43°

Look at triangle ABD,
you know angle A = 28, angle ABD = 180-43 = 137
angle ADB = 15°

you can use the Sine Law to find BD

BD/sin28 = 230/sin15
BD = 230sin28/sin15
= ...

now BD is the hypotenuse of triangle BCD
sin43 = DC/BD
DC = BDsin43 = ...

BTW, your grammar and your spelling are horrendous.