With its radar, an aircraft spots another aircraft 8000 feet away at a 12 degree angle of depression Determine the vertical distance and horizontal distance between the two aircraft.

Answer:the vertical distance is 1663.2 feet.

The horizontal distance is 7824.8 feet.

Step-by-step explanation:.

The vertical distance between the two aircrafts is represented by x.

To determine x, we would apply trigonometric ratio

Sin θ = opposite side/hypotenuse

Sine 12 = x/8000

x = 8000Sin12 = 8000 * 0.2079

x = 1663.2 feet

The horizontal distance between the two aircrafts is represented by y.

To determine y, we would apply trigonometric ratio

Cos θ = opposite side/hypotenuse

Cos 12 = y/8000

x = 8000Cos12 = 8000 * 0.9781

x = 7824.8 feet