Question

A laser beam is transmitted with a "width" of .0008 degrees and

makes a circular spot of radius 2.50 km on a distant object. How
far is the object from the source of the laser beam?

Answer 1

Object will be at a distance of 358098.6 km from the source

Explanation:

We have given angle = 0.0008 degree
`=(0.0008* \pi )/(180)=4.444* 10^(-6)\pi`

Radius is given = 2.50 km

Linear size of the object will be equal to diameter

So linear size = 2.5×2 = 5 km

We know that linear size
`=distance * \Theta`

So
`5=d* 4.444* 10^(-6)\pi`

d = 358098.6 km