Question

A traffic controller at the airport watches a commercial plane circling above at a distance of 24.0 km as the pilot waits for clearance to land. If the Moon subtends an angle of 9.89 10-3 radians at the controller's location, what is the distance the jet travels as its nose moves across the diameter of the Moon?

Answer 1

The distance travelled is
`S = 237.36 \ m`

Step-by-step explanation:

From the question we are told that

The distance of the airplane from the ground is
`L = 24.0\ km`

The angle subtended by the moon is
`\theta = 9.89*10^(-3) \ radians`

The distance traveled can be mathematically represented as

`S = R \theta`

Substituting values

`S = 24 *10^3 * 9.89*10^(-3)`

`S = 237.36 \ m`