A particular bird’s eye can just distinguish objects that subtend an angle no smaller than about 4.0×10^-4 rads. (a) How many de

Question

A particular bird’s eye can just distinguish objects that subtend an angle no smaller than about 4.0×10^-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.

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RobertKer 4 years 2021-08-09T10:33:43+00:00 1 Answers 39 views 0

Answers ( )

  1. sori
    0
    2021-08-09T10:34:43+00:00
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    Answer:

    Part a)

    Angle in degree is given as

    \theta = 0.023 ^o

    Part b)

    Size of the object is

    Length = 0.064 m

    Explanation:

    Part a)

    As we know that

    180 degree = \pi radian

    so we have

    \theta = 4.0 \times 10^{-4} rad

    so we have

    \theta = 4.0 \times 10^{-4} \times \frac{180}{\pi}

    \theta = 0.023 ^o

    Part b)

    As we know that the relation of angle with radius is

    \theta = \frac{arc}{radius}

    4 \times 10^{-4} = \frac{Length}{160}

    Length = 0.064 m

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