At point $\displaystyle {A}$ the angle of elevation to the top of the building is measured to be $\displaystyle {57}^{\circ}$. After moving $\displaystyle {129}$ feet further away from the base of the building to point $\displaystyle {B}$, he measures the angle of elevation to the top as $\displaystyle {38}^{\circ}$. Estimate the height of the building to the nearest foot by finding the distance from point $\displaystyle {B}$ to the top of the building by applying the law of sines. 

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height of building$\displaystyle =$