Question

A particular bird’s eye can just distinguish objects that subtend an angle no smaller than about 4.0x10^-4 rads.

(a) How many degrees is this?

(b) How small an object can the bird just distinguish when flying at a height of 160 m
Please show work, thank you.

Answer 1

Part a)

Angle in degree is given as

`\theta = 0.023 ^o`

Part b)

Size of the object is

`Length = 0.064 m`

Step-by-step explanation:

Part a)

As we know that

180 degree =
`\pi` radian

so we have

`\theta = 4.0 * 10^(-4) rad`

so we have

`\theta = 4.0 * 10^(-4) * (180)/(\pi)`

`\theta = 0.023 ^o`

Part b)

As we know that the relation of angle with radius is

`\theta = (arc)/(radius)`

`4 * 10^(-4) = (Length)/(160)`

`Length = 0.064 m`