Problem $3.(20$pts$)$ Show that the angle of attack of the horizontal tail of the airplane model that

we have adopted in this class can be expressed as:

${}_t=(1-\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}})-({}_0+i_t)[1-\frac{a_t}{a}\frac{S_t}{S}(1-\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}})]$

Start with ${}_t={}_{wb}-(+i_t)$