(Originais Teachy 2023) - Question Very Hard of Physics

An observer is located at point A in an open field and sees a plane flying in a straight line towards point C, which is 800 m away and forming an angle of 30 degrees with the ground. The plane, which is at an altitude of 400 m above the ground, is subject to a wind that causes it to move 20 m/s in the direction perpendicular to the line connecting points A and C, towards point B. Disregarding the effect of the wind, determine: 1) The horizontal component of the plane's velocity. 2) The vertical component of the plane's velocity. 3) The resultant velocity of the plane, considering the effect of the wind. Use sine and cosine of 30 degrees, where sin(30) = 0.5 and cos(30) = 0.87, and assume g = 10 m/s^2 for the acceleration due to gravity.