A marble has a diameter of 2 cm.At what distance would the marble have an angular diameter of 1 arc second? Here one radian is 57.3 degrees,and one arc second is 1/3600 of a degree.
A) 4.1 cm
B) 4.1 miles
C) 4.1 m
D) 4.1 ft
E) 4.1 km

Question

Quizplus · Accepted Answer

To find the distance, use the formula for angular diameter: θ = (d / D) * (206265), where θ is the angular diameter in arc seconds, d is the actual diameter, and D is the distance. Solving for D when θ = 1 arc second and d = 2 cm gives D = 2 * 206265 cm = 412530 cm = 4.1 km.

A Marble Has a Diameter of 2 Cm