Question

The angles of elevation to an airplane from two points A and B on level ground are 56° and 73°, respectively. The points A and B are 2.2 miles apart, and the airplane is east of both points in the same vertical plane. Find the altitude of the plane. (Round your answer to two decimal places.)

Answer 1

The altitude of the plane = 5.97 miles to 2 d.p

Step-by-step explanation:

Let the altitude of the plane be H miles

Let the distance between point B and the foot of the straight vertical altitude of the plane be x miles

The distance between point A and the straight vertical altitude of the plane is (x + 2.2) miles

The diagram and solution to this problem is provided in the attached image.