Chapter 3.1, Problem 51E

(a)

To determine

: The diagram and show the known quantities on the diagram, when the angle of elevation to an airplane from two points $A$ and $B$ on level ground is $55°$ and $72°$, respectively. The points $A$ and $B$ are $2.2\text{ miles}$ apart, and the airplane is east of both the points in the same vertical plane.

(b)

To determine

To calculate: The distance between the plane and point $B$, when the angle of elevation to an airplane from two points $A$ and $B$ on level ground is $55°$ and $72°$, respectively. The points $A$ and $B$ are $2.2\text{ miles}$ apart, and the airplane is east of both the points in the same vertical plane.

(c)

To determine

To calculate: The altitude of the plane, when the angle of elevation to an airplane from two points $A$ and $B$ on level ground are $55°$ and $72°$, respectively. The points $A$ and $B$ are $2.2\text{ miles}$ apart and the airplane is east of both the points in the same vertical plane.

(d)

To determine

To calculate: The distance the plane must travel before it is directly above point $A$, when the angle of elevation to an airplane from two points $A$ and $B$ on level ground are $55°$ and $72°$, respectively. The points $A$ and $B$ are $2.2\text{ miles}$ apart and the airplane is east of both the points in the same vertical plane.