A dime is 1.8 cm in diameter. At what distance from your eye would you have to hold a dime so that it has the same angular diameter as the full Moon
A)2 m
B)2 cm
C)2 km
D)2 inches
E)2 ft

Question

Quizplus · Accepted Answer

The full moon has an angular diameter of approximately 0.5 degrees. To find the distance at which a dime would have the same angular diameter, we can use the formula:

angular diameter = size of object / distance to object

We know that the diameter of the dime is 1.8 cm. To find the distance, we can rearrange the formula:

distance to object = size of object / angular diameter

distance to object = 1.8 cm / 0.5 degrees

We need to convert degrees to radians, which is done by multiplying by pi/180:

distance to object = 1.8 cm / (0.5 degrees * pi/180) = 205.9 cm

Since the question asks for the distance from your eye, we can assume that the dime would be held at arm's length, which is roughly 2 meters or 200 cm. Therefore, the best choice is A) 2 m.

A Dime Is 1