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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.

User Jebeaudet
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1 Answer

3 votes

Answer:

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

User Diego Basch
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6.4k points