Question

From a radar station the location of a plane is 110 km. The location of a second plane is 200 km away with an angle of 85 between them. Find the distance between the planes

Answer 1

Distance between the planes = 220 km (Approx)

Explanation:

Given:

Location of first plane (a) = 110 km

Location of second plane (b) = 200 km

The angle between the plane (α) = 85°

Find:

Distance between the planes.

Computation:

`Distance\ between\ the\ planes= √(a^2+b^2-2abcos\alpha) \\\\Distance\ between\ the\ planes= √(110^2+200^2-2(110)(200)cos85) \\\\Distance\ between\ the\ planes= √(12100+40,000 -3834.85268) \\\\Distance\ between\ the\ planes= √(48265.1473)\\\\Distance\ between\ the\ planes= 219.6933`

Distance between the planes = 220 km (Approx)