Answer:
2.1 km
Step-by-step explanation:
Let's say the distance between the plane and the ground is y.
The horizontal distance between the plane and A is:
tan 58° = y / x₁
x₁ = y / tan 58°
x₁ = 0.625 y
The horizontal distance between the plane and B is:
tan 30° = y / x₂
x₂ = y / tan 30°
x₂ = 1.732 y
The difference between them is 3.8 km.
x₂ − x₁ = 3.8
1.732 y − 0.625 y = 3.8
1.107 y = 3.8
y = 3.432
The horizontal distance between the plane and point A is therefore:
x₁ = 0.625 × 3.432
x₁ = 2.145
Rounded, the plane is 2.1 km from point A.
