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The moon is observed from two diametrica...

The moon is observed from two diametrically opposite points A and B on earth. The angle `theta` substended at the moon by the two directions of observation is `1 ^@ 54'.` Given the diameter of earth to be about `1.276xx10^7m,` calculate the distance of moon from earth.

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To solve the problem of calculating the distance of the moon from the Earth based on the given angle and diameter of the Earth, we can follow these steps: ### Step 1: Understand the Geometry We have two points A and B on the Earth's surface that are diametrically opposite. The angle \( \theta \) subtended at the moon by these two points is given as \( 1^\circ 54' \). ### Step 2: Convert the Angle to Radians First, we need to convert the angle from degrees and minutes to radians. ...
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A huge circular container is observed from two diametrically opposite position X and Y on the earth. The angle subtended by the two directions of observations is 1^(@)26'4'' . The diameter of earth is about 1.27xx10^(7)m . What is the distance of container from earth?

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Knowledge Check

  • What is the approximate distance (in km) of the moon from Earth?

    A
    3,84,400
    B
    2,80,500
    C
    5,60,000
    D
    6,00,000

  • If the distance of the moon from earth is and the period of revolution is T_(m) ,then the mass of the earth is

    A
    `(4pi^(2)r_(m)^(2))/(GT_(m))`
    B
    `(4pi^(2)r_(m)^(3))/(GT_(m)^(2))`
    C
    `(4pi^(2)r_(m))/(GT_(m))`
    D
    `(4pi^(2)r_(m))/(GT_(m)^(2))`

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    The moon is observed from two diametrically extremes A and B on earth. The angle of parallax is found to be 1^@54' . If the diameter of the earth is about 1.276 xx 10^7 m, estimate the distance of the moon from the earth.

    The moon subtends an angle of 57 minutes at two diametrically opposite points on earth. Calculate the distance of the moon from the earth. Given, diameter of earth =1.276xx10^7 m .

    A distant star is observed from two diametrically opposite points on earth. If both the points are at distance 1.27xx10^(7)m and angle subtended by both the points at star is 0.80'' , calculate the distance between earth and the star.

    Assuming the distance of the earth from the moon to be 38,400km and the angle subtended by the moon at the eye of a person on the earth to be 31, find the diameter of the moon.

    The angle subtended by the moon's diameter at a point on the earth is about 0.50^(@) . Use this and the fact that the moon is about 384000km away to find the approximate diameter of the moon .

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