(Solved): The angles of elevation to an airplane from two points \( A \) and \( B \) on level ground are \( ...

The angles of elevation to an airplane from two points \( A \) and \( B \) on level ground are \( 55^{\circ} \) and \( 72^{\circ} \), respectively. The points \( A \) and \( B \) are \( 2.7 \) miles apart, and the airplane is east of both points in the same vertical plane. (a) Draw a diagram that represents the problem. Show the known quantities on the diagram. Excellent job! (b) Find the distance between the plane and point \( B \). (Round your answer to two decimal places.) \( \mathrm{mi} \) (c) Find the altitude of the plane. (Round your answer to two decimal places.) mi (d) Find the distance the plane must travel before it is directly above point \( A \). (Round your answer to two decimal places.) \( \times \mathrm{mi} \)