a clock has a diameter of 1 foot what is the angular size if viewed from a distance of 27 feet
(half)-angle from centre to circumference
= arctan(0.5'÷27')
= arctan(1÷54)
= 1.061° approx.
Full angle of clock
= 2*half-angle
= 2.12° (approx.)
To find the angular size of the clock, we can use the formula:
Angular size = size / distance
Here, the size of the clock is the diameter, which is given as 1 foot, and the distance from which it is viewed is 27 feet.
Angular size = 1 foot / 27 feet
To get the angular size, we need to divide the size (1 foot) by the distance (27 feet):
Angular size = 1/27 = 0.037 degrees (rounded to three decimal places)
So, the angular size of the clock, when viewed from a distance of 27 feet, is approximately 0.037 degrees.