**Problem Statement:**A balloon is observed from two stations A and B at the same horizontal level, with A being 1000m north of B. At a given instant, the bearing of the balloon from A is 33.2° and its angle of elevation is 53.42°, while from B, its bearing is 21.45°. Calculate the height of the balloon.In the figure, a balloon is at P, and Q is directly below P. The values given are:- φ (phi) = 33.2°- θ (theta) = 21.45°- α (alpha) = 53.42°- d = 500m**Diagram Explanation:**The diagram illustrates a geometric situation for solving the problem:- Points A and B are on the horizontal line, with A positioned north of B.- Lines extending from A and B form angles φ and θ with the North direction, respectively.- A line from B extends eastward, labeled d, representing the separation between A and B in the north-south direction.- Labeled angles are: - φ (33.2°) at A - θ (21.45°) at B - α (53.42°) at A, which is the angle of elevation to the balloon.- Point P is the balloon’s position above the ground level.- Point Q is positioned on the ground, directly below point P, vertically extending the line forming height h with P. The line segment connecting B and Q forms one side of the triangle, while PQ stands vertically indicating the height h of the balloon.

Name: **Problem Statement:**A balloon is observed from two stations A and B
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: **Problem Statement:**A balloon is observed from two stations A and B at the same horizontal level, with A being 1000m north of B. At a given instant, the bearing of the balloon from A is 33.2° and its angle of elevation is 53.42°, while from B, its