A traffic controller at the airport watches a commercial plane circling above at a distance of 18.0 km as the pilot waits for clearance to land. If the Moon subtends an angle of 9.18 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?
Given: Distance R= 18.0 km = 18,000 m
S= ? , θ= 9.18×10^-3 radians
We hve to calculate the distance travelled S, as it crosses the moon,
S = Rθ
S-> arc length travelled by aircraft = Rθ
(R = radius, θ = angle in radians)
S = Rθ
S = 18000m x 9.18× 10^-3rad ►S = 165.24 m
S= 165 m _Ans.
A traffic controller at the airport watches a commercial plane circling above at a distance of...