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?

Respuesta :

Answer:

The distance travelled is [tex]S = 237.36 \ m[/tex]

Explanation:

From the question we are told that

    The distance of the airplane from the ground is  [tex]L = 24.0\ km[/tex]

     The angle subtended by the moon is [tex]\theta = 9.89*10^{-3} \ radians[/tex]

The distance traveled can be mathematically represented as

            [tex]S = R \theta[/tex]

Substituting values

            [tex]S = 24 *10^3 * 9.89*10^{-3}[/tex]

           [tex]S = 237.36 \ m[/tex]