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The moon's distance from the earth is 36...

The moon's distance from the earth is `360000 km` and its diameter subtends an angle of `42'` at the eye of the observer. The diameter of the moon in kilometers is

A

4400 km

B

1000 km

C

3600 km

D

8800 km

Text Solution

Verified by Experts

The correct Answer is:
A
`theta = 42^(@) = (pi)/(180^(@))xx(42^(@))/(60^(@))= (11)/(900)` rad
`l= rtheta= (11)/(900) xx 360000 = 4400 ` km
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Knowledge Check

  • The moon's distance from the earth is 360000 km and its diameter substends an angle of 42 at the eye of the observer. The diameter of the moon in kilometers is

    A
    `4400`
    B
    `1000`
    C
    `3600`
    D
    `8800`

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    `theta/D`
    B
    `D/theta`
    C
    `D theta`
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    `1/(D theta)`

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